{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.Answer folling questions:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.why do we need machine learning methods instead of creating a complicated formula?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Ans: 因为在现实的生活中，一个实际的问题并不是固定的，也会随着时间的推移发生变化，如果使用原有的编程方法，就有针对每一个问题重新编程。而机器学习是让计算机具有学习能力，不需要进行明确编程的科学，更能够解决现实中的问题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.What's the disadvantages of the 1st Random Choosen methods in our course?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Ans: 第一种方法是采用随机函数随机产生系数的方法，不好的地方在于每一步计算都没有方向，很多计算是重叠和浪费的，需要大量的计算资源才能实现"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3.Is the 2nd method supervised direction better than 1st one? What's the disadvantages of the 2nd supversied directin method?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Ans: 第二种监督学习的方法相比于第一种方法在改良方向方面有了改进，不再是随机的计算，而是根据当下一步计算的优劣决定下一步计算的方向，减少了计算量；缺点是不能找到最适合计算的条件加速计算过程减少计算次数，不能再最大程度上减少计算次数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 4. Why do we use Derivative / Gredient to fit a target function?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Ans:通过计算未知参数的导数可以知道目标函数的自变量的变化方向，从而减少计算量"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 5. In the words 'Gredient Descent', what's the Gredient and what's the Descent?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Ans:我们的目标是找到使目标函数下降最快的方向，而最快的方向就是最陡峭的地方即最大的方向导数，这个方向导数就是梯度，下降是指为了使目标函数减少而使自变量朝着梯度相反的方向变化的意思"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 6. What's the advantages of the 3rd gradient descent method compared to the previous methods?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Ans:有方向性，可以选择变化幅度从而减少大量运算量"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 7. Using the simple words to describe: What's the machine leanring."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### Ans: 机器学习是通过编程让计算机从数据中进行学习的科学"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.从地铁网站中爬取地铁的线路和线路上的站点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import requests\n",
    "from bs4 import BeautifulSoup\n",
    "import re"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cut(pattern,test_string):\n",
    "    '''采用正则表达式提取数据'''\n",
    "    return re.findall(pattern,test_string)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Response [200]>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#爬取19个地铁线路的url\n",
    "import requests\n",
    "url_highest = 'http://bj.bendibao.com/ditie/linemap.shtml' # 地铁路线总页\n",
    "response = requests.get(url_highest)\n",
    "text_wait_for_finding_lines = response.text\n",
    "response"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "subway_line_url_string = 'http://bj.bendibao.com/ditie/map_197.shtml'\n",
    "pattern_subway_line = re.compile(r'(/ditie/map_\\d+.shtml)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "subway_lines_test = list(set(cut(pattern_subway_line,text_wait_for_finding_lines)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['/ditie/map_205.shtml',\n",
       " '/ditie/map_211.shtml',\n",
       " '/ditie/map_199.shtml',\n",
       " '/ditie/map_254.shtml',\n",
       " '/ditie/map_202.shtml',\n",
       " '/ditie/map_209.shtml',\n",
       " '/ditie/map_207.shtml',\n",
       " '/ditie/map_210.shtml',\n",
       " '/ditie/map_212.shtml',\n",
       " '/ditie/map_201.shtml',\n",
       " '/ditie/map_346.shtml',\n",
       " '/ditie/map_197.shtml',\n",
       " '/ditie/map_200.shtml',\n",
       " '/ditie/map_253.shtml',\n",
       " '/ditie/map_204.shtml',\n",
       " '/ditie/map_208.shtml',\n",
       " '/ditie/map_206.shtml',\n",
       " '/ditie/map_203.shtml',\n",
       " '/ditie/map_198.shtml']"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subway_lines_test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "subway_lines = ['http://bj.bendibao.com' + url for url in subway_lines_test] # 将url修改为requests模块函数可以访问的网址格式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['http://bj.bendibao.com/ditie/map_205.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_211.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_199.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_254.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_202.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_209.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_207.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_210.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_212.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_201.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_346.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_197.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_200.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_253.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_204.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_208.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_206.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_203.shtml',\n",
       " 'http://bj.bendibao.com/ditie/map_198.shtml']"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subway_lines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "pattern_station_untransferable = re.compile(r'<a\\s+class=\"link\"\\s+href=\"/ditie/\\w+_\\w+.shtml\"\\s+target=\"_blank\">(\\w+)</a>') # 不可换乘的正则表达式\n",
    "pattern_station_transferable = re.compile(r'<a\\s+class=\"link\"\\s+href=\"/ditie/\\w+_\\w+.shtml\">(\\w+)</a>') # 可换乘的正则表达式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def spider_line_x_station(soup_a,pattern_station_transfer,pattern_station_untransfer):\n",
    "    '''根据BeautifulSoup中的\"a\"tag标签内容筛选站点'''\n",
    "    line_x = []\n",
    "    \n",
    "    for line in soup_a:\n",
    "        station = cut(pattern_station_transfer,str(line))\n",
    "        \n",
    "        if len(station) == 0:\n",
    "            station = cut(pattern_station_untransfer,str(line))\n",
    "        \n",
    "        if len(station) != 0:\n",
    "            line_x.append(station[0])\n",
    "            \n",
    "    return line_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_title_name(soup_title):\n",
    "    return str(soup_title).split(',')[0].lstrip('<title>')[4:-3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "subway_lines_stations = {}\n",
    "for line_url in subway_lines:\n",
    "    response = requests.get(line_url)\n",
    "    line_html = response.text\n",
    "    \n",
    "    soup = BeautifulSoup(line_html)\n",
    "    name = get_title_name(soup.title)\n",
    "    soup_a = soup.find_all('a')\n",
    "    \n",
    "    stations = spider_line_x_station(soup_a,pattern_station_transferable,pattern_station_untransferable)\n",
    "    subway_lines_stations[name] = stations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'昌平线': ['南邵', '沙河高教园', '沙河', '巩华城', '朱辛庄', '生命科学园', '西二旗'],\n",
       " '2号线(内环)': ['积水潭',\n",
       "  '鼓楼大街',\n",
       "  '安定门',\n",
       "  '雍和宫',\n",
       "  '东直门',\n",
       "  '东四十条',\n",
       "  '朝阳门',\n",
       "  '建国门',\n",
       "  '北京站',\n",
       "  '崇文门',\n",
       "  '前门',\n",
       "  '和平门',\n",
       "  '宣武门',\n",
       "  '长椿街',\n",
       "  '复兴门',\n",
       "  '阜成门',\n",
       "  '车公庄',\n",
       "  '西直门'],\n",
       " '5号线(M5)': ['宋家庄',\n",
       "  '刘家窑',\n",
       "  '蒲黄榆',\n",
       "  '天坛东门',\n",
       "  '磁器口',\n",
       "  '崇文门',\n",
       "  '东单',\n",
       "  '灯市口',\n",
       "  '东四',\n",
       "  '张自忠路',\n",
       "  '北新桥',\n",
       "  '雍和宫',\n",
       "  '和平里北街',\n",
       "  '和平西桥',\n",
       "  '惠新西街南口',\n",
       "  '惠新西街北口',\n",
       "  '大屯路东',\n",
       "  '北苑路北',\n",
       "  '立水桥南',\n",
       "  '立水桥',\n",
       "  '天通苑南',\n",
       "  '天通苑',\n",
       "  '天通苑北'],\n",
       " '14号线东段': ['北京南站',\n",
       "  '永定门外',\n",
       "  '景泰',\n",
       "  '蒲黄榆',\n",
       "  '方庄',\n",
       "  '十里河',\n",
       "  '北工大西门',\n",
       "  '九龙山',\n",
       "  '大望路',\n",
       "  '金台路',\n",
       "  '枣营',\n",
       "  '东风北桥',\n",
       "  '将台',\n",
       "  '望京南',\n",
       "  '阜通',\n",
       "  '望京',\n",
       "  '东湖渠',\n",
       "  '来广营',\n",
       "  '善各庄'],\n",
       " '13号线(M13)': ['西直门',\n",
       "  '大钟寺',\n",
       "  '知春路',\n",
       "  '五道口',\n",
       "  '上地',\n",
       "  '西二旗',\n",
       "  '龙泽',\n",
       "  '回龙观',\n",
       "  '霍营',\n",
       "  '立水桥',\n",
       "  '北苑',\n",
       "  '望京西',\n",
       "  '芍药居',\n",
       "  '光熙门',\n",
       "  '柳芳',\n",
       "  '东直门'],\n",
       " '6号线': ['海淀五路居',\n",
       "  '慈寿寺',\n",
       "  '花园桥',\n",
       "  '白石桥南',\n",
       "  '车公庄西',\n",
       "  '车公庄',\n",
       "  '平安里',\n",
       "  '北海北',\n",
       "  '南锣鼓巷',\n",
       "  '东四',\n",
       "  '朝阳门',\n",
       "  '东大桥',\n",
       "  '呼家楼',\n",
       "  '金台路',\n",
       "  '十里堡',\n",
       "  '青年路',\n",
       "  '褡裢坡',\n",
       "  '黄渠',\n",
       "  '常营',\n",
       "  '草房',\n",
       "  '物资学院路',\n",
       "  '通州北关',\n",
       "  '北运河西',\n",
       "  '郝家府',\n",
       "  '东夏园',\n",
       "  '潞城'],\n",
       " '亦庄线': ['宋家庄',\n",
       "  '肖村',\n",
       "  '小红门',\n",
       "  '旧宫',\n",
       "  '亦庄桥',\n",
       "  '亦庄文化园',\n",
       "  '万源街',\n",
       "  '荣京东街',\n",
       "  '荣昌东街',\n",
       "  '同济南路',\n",
       "  '经海路',\n",
       "  '次渠南',\n",
       "  '次渠'],\n",
       " '14号线西段': ['张郭庄', '园博园', '大瓦窑', '郭庄子', '大井', '七里庄', '西局'],\n",
       " '10号线': ['巴沟',\n",
       "  '苏州街',\n",
       "  '海淀黄庄',\n",
       "  '知春里',\n",
       "  '知春路',\n",
       "  '西土城',\n",
       "  '牡丹园',\n",
       "  '健德门',\n",
       "  '北土城',\n",
       "  '安贞门',\n",
       "  '惠新西街南口',\n",
       "  '芍药居',\n",
       "  '太阳宫',\n",
       "  '三元桥',\n",
       "  '亮马桥',\n",
       "  '农业展览馆',\n",
       "  '团结湖',\n",
       "  '呼家楼',\n",
       "  '金台夕照',\n",
       "  '国贸',\n",
       "  '双井',\n",
       "  '劲松',\n",
       "  '潘家园',\n",
       "  '十里河',\n",
       "  '分钟寺',\n",
       "  '成寿寺',\n",
       "  '宋家庄',\n",
       "  '石榴庄',\n",
       "  '大红门',\n",
       "  '角门东',\n",
       "  '角门西',\n",
       "  '草桥',\n",
       "  '纪家庙',\n",
       "  '首经贸',\n",
       "  '丰台站',\n",
       "  '泥洼',\n",
       "  '西局',\n",
       "  '六里桥',\n",
       "  '莲花桥',\n",
       "  '公主坟',\n",
       "  '西钓鱼台',\n",
       "  '慈寿寺',\n",
       "  '车道沟',\n",
       "  '长春桥',\n",
       "  '火器营'],\n",
       " '9号线(M9)': ['郭公庄',\n",
       "  '丰台科技园',\n",
       "  '科怡路',\n",
       "  '丰台南路',\n",
       "  '丰台东大街',\n",
       "  '七里庄',\n",
       "  '六里桥',\n",
       "  '六里桥东',\n",
       "  '北京西站',\n",
       "  '军事博物馆',\n",
       "  '白堆子',\n",
       "  '白石桥南',\n",
       "  '国家图书馆'],\n",
       " '2号线(外环)': ['西直门',\n",
       "  '车公庄',\n",
       "  '阜成门',\n",
       "  '复兴门',\n",
       "  '长椿街',\n",
       "  '宣武门',\n",
       "  '和平门',\n",
       "  '前门',\n",
       "  '崇文门',\n",
       "  '北京站',\n",
       "  '建国门',\n",
       "  '朝阳门',\n",
       "  '东四十条',\n",
       "  '东直门',\n",
       "  '雍和宫',\n",
       "  '安定门',\n",
       "  '鼓楼大街',\n",
       "  '积水潭'],\n",
       " '1号线(M1)': ['苹果园',\n",
       "  '古城',\n",
       "  '八角游乐园',\n",
       "  '八宝山',\n",
       "  '玉泉路',\n",
       "  '五棵松',\n",
       "  '万寿路',\n",
       "  '公主坟',\n",
       "  '军事博物馆',\n",
       "  '木樨地',\n",
       "  '南礼士路',\n",
       "  '复兴门',\n",
       "  '西单',\n",
       "  '天安门西',\n",
       "  '天安门东',\n",
       "  '王府井',\n",
       "  '东单',\n",
       "  '建国门',\n",
       "  '永安里',\n",
       "  '国贸',\n",
       "  '大望路',\n",
       "  '四惠',\n",
       "  '四惠东'],\n",
       " '8号线(M8)': ['朱辛庄',\n",
       "  '育知路',\n",
       "  '平西府',\n",
       "  '回龙观东大街',\n",
       "  '霍营',\n",
       "  '育新',\n",
       "  '西小口',\n",
       "  '永泰庄',\n",
       "  '林萃桥',\n",
       "  '森林公园南门',\n",
       "  '奥林匹克公园',\n",
       "  '奥体中心',\n",
       "  '北土城',\n",
       "  '安华桥',\n",
       "  '鼓楼大街',\n",
       "  '什刹海',\n",
       "  '南锣鼓巷'],\n",
       " '7号线': ['北京西站',\n",
       "  '湾子',\n",
       "  '达官营',\n",
       "  '广安门内',\n",
       "  '菜市口',\n",
       "  '虎坊桥',\n",
       "  '珠市口',\n",
       "  '桥湾',\n",
       "  '磁器口',\n",
       "  '广渠门内',\n",
       "  '广渠门外',\n",
       "  '双井',\n",
       "  '九龙山',\n",
       "  '大郊亭',\n",
       "  '百子湾',\n",
       "  '化工',\n",
       "  '南楼梓庄',\n",
       "  '欢乐谷景区',\n",
       "  '垡头',\n",
       "  '双合',\n",
       "  '焦化厂'],\n",
       " '八通线(M1)': ['四惠',\n",
       "  '四惠东',\n",
       "  '高碑店',\n",
       "  '传媒大学',\n",
       "  '双桥',\n",
       "  '管庄',\n",
       "  '八里桥',\n",
       "  '通州北苑',\n",
       "  '果园',\n",
       "  '九棵树',\n",
       "  '梨园',\n",
       "  '临河里',\n",
       "  '土桥'],\n",
       " '机场线(L1)': ['东直门', '三元桥', 'T3航站楼', 'T2航站楼'],\n",
       " '房山线': ['苏庄',\n",
       "  '良乡南关',\n",
       "  '良乡大学城西',\n",
       "  '良乡大学城',\n",
       "  '良乡大学城北',\n",
       "  '广阳城',\n",
       "  '篱笆房',\n",
       "  '长阳',\n",
       "  '稻田',\n",
       "  '大葆台',\n",
       "  '郭公庄'],\n",
       " '15号线': ['俸伯',\n",
       "  '顺义',\n",
       "  '石门',\n",
       "  '南法信',\n",
       "  '后沙峪',\n",
       "  '花梨坎',\n",
       "  '国展',\n",
       "  '孙河',\n",
       "  '马泉营',\n",
       "  '崔各庄',\n",
       "  '望京',\n",
       "  '望京西',\n",
       "  '关庄',\n",
       "  '安立路',\n",
       "  '奥林匹克公园',\n",
       "  '北沙滩',\n",
       "  '六道口',\n",
       "  '清华东路西口'],\n",
       " '4号线(M4)': ['安河桥北',\n",
       "  '北宫门',\n",
       "  '西苑',\n",
       "  '圆明园',\n",
       "  '北京大学东门',\n",
       "  '中关村',\n",
       "  '海淀黄庄',\n",
       "  '人民大学',\n",
       "  '魏公村',\n",
       "  '国家图书馆',\n",
       "  '动物园',\n",
       "  '西直门',\n",
       "  '新街口',\n",
       "  '平安里',\n",
       "  '西四',\n",
       "  '灵境胡同',\n",
       "  '西单',\n",
       "  '宣武门',\n",
       "  '菜市口',\n",
       "  '陶然亭',\n",
       "  '北京南站',\n",
       "  '马家堡',\n",
       "  '角门西',\n",
       "  '公益西桥',\n",
       "  '新宫',\n",
       "  '西红门',\n",
       "  '高米店北',\n",
       "  '高米店南',\n",
       "  '枣园',\n",
       "  '清源路',\n",
       "  '黄村西大街',\n",
       "  '黄村火车站',\n",
       "  '义和庄',\n",
       "  '生物医药基地',\n",
       "  '天宫院']}"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "subway_lines_stations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "19"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(subway_lines_stations)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.从高德地图api中爬取各个地铁站点的坐标并数据清洗"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#爬取高德地图api中的地铁站点和坐标\n",
    "import re\n",
    "import requests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "url = 'http://map.amap.com/service/subway?_1469083453978&srhdata=1100_drw_beijing.json'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "response = requests.get(url)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "html_text = response.text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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1179\",\"si\":\"900000029622002\",\"udsu\":\"1;1\",\"poiid\":\"BV10420731\",\"t\":\"0\",\"r\":\"900000029622\",\"lg\":\"0\",\"p\":\"43 1176\",\"udli\":\"900000029623;900000029622\",\"su\":\"1\",\"rs\":\"43 1176\"},{\"sl\":\"115.973395,39.719615\",\"sid\":\"900000029622001\",\"sp\":\"yan shan\",\"udsi\":\"900000029622001;900000029623019\",\"n\":\"燕山\",\"udpx\":\"0 1179;0 1173\",\"si\":\"900000029622001\",\"udsu\":\"1;1\",\"poiid\":\"BV10420733\",\"t\":\"0\",\"r\":\"900000029622\",\"lg\":\"4\",\"p\":\"0 1176\",\"udli\":\"900000029622;900000029623\",\"su\":\"1\",\"rs\":\"0 1176\"}],\"kn\":\"地铁燕房线\",\"x\":22},{\"f\":[{\"li\":\"110100023102\",\"c\":[\"1479 1171\",\"1432 1171\",\"1380 1171\",\"1327 1171\",\"1273 1171\",\"1267 1170\",\"1261 1168\",\"1255 1165\",\"1249 1160\",\"1244 1154\",\"1237 1145\",\"1237 1144\",\"1222 1121\",\"1204 1095\",\"1188 1071\",\"1170 1044\",\"1155 1022\",\"1139 997\",\"1119 968\",\"1119 935\"]},{\"li\":\"110100023103\",\"c\":[\"1113 935\",\"1113 970\",\"1134 1001\",\"1150 1025\",\"1165 1047\",\"1183 1074\",\"1199 1099\",\"1217 1124\",\"1232 1148\",\"1239 1157\",\"1245 1164\",\"1252 1169\",\"1258 1173\",\"1266 1176\",\"1272 1176\",\"1327 1176\",\"1380 1176\",\"1432 1176\",\"1479 1176\"]}],\"lo\":\"0\",\"li\":\"110100023102|110100023103\",\"ln\":\"亦庄线\",\"ls\":\"110100023102\",\"c\":[\"1116 935\",\"1116 969\",\"1136 999\",\"1152 1023\",\"1167 1046\",\"1185 1072\",\"1201 1097\",\"1219 1122\",\"1234 1146\",\"1234 1147\",\"1242 1156\",\"1247 1162\",\"1253 1167\",\"1260 1171\",\"1267 1173\",\"1273 1174\",\"1327 1174\",\"1380 1174\",\"1432 1174\",\"1479 1174\"],\"cl\":\"F0087D\",\"lp\":[\"1316 1129\"],\"su\":\"1\",\"la\":\"\",\"st\":[{\"sl\":\"116.428368,39.845849\",\"sid\":\"110100023100001\",\"sp\":\"song jia zhuang\",\"udsi\":\"110100023102014;110100023103002\",\"n\":\"宋家庄\",\"udpx\":\"1119 935;1113 935\",\"si\":\"110100023100001\",\"udsu\":\"1;1\",\"poiid\":\"BV10000743\",\"t\":\"1\",\"r\":\"110100023100|110100023282|110100023102\",\"lg\":\"3\",\"p\":\"1116 935\",\"udli\":\"110100023102;110100023103\",\"su\":\"1\",\"rs\":\"1116 935|1116 935|1116 935\"},{\"sl\":\"116.448364,39.834217\",\"sid\":\"110100023102013\",\"sp\":\"xiao cun\",\"udsi\":\"110100023103003;110100023102013\",\"n\":\"肖村\",\"udpx\":\"1113 970;1119 968\",\"si\":\"110100023102013\",\"udsu\":\"1;1\",\"poiid\":\"BV10011446\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1116 969\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1116 969\"},{\"sl\":\"116.459226,39.827951\",\"sid\":\"110100023102012\",\"sp\":\"xiao hong men\",\"udsi\":\"110100023103004;110100023102012\",\"n\":\"小红门\",\"udpx\":\"1134 1001;1139 997\",\"si\":\"110100023102012\",\"udsu\":\"1;1\",\"poiid\":\"BV10012008\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1136 999\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1136 999\"},{\"sl\":\"116.460789,39.806910\",\"sid\":\"110100023102011\",\"sp\":\"jiu gong\",\"udsi\":\"110100023103005;110100023102011\",\"n\":\"旧宫\",\"udpx\":\"1150 1025;1155 1022\",\"si\":\"110100023102011\",\"udsu\":\"1;1\",\"poiid\":\"BV10000335\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1152 1023\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1152 1023\"},{\"sl\":\"116.480307,39.803011\",\"sid\":\"110100023102010\",\"sp\":\"yi zhuang qiao\",\"udsi\":\"110100023102010;110100023103006\",\"n\":\"亦庄桥\",\"udpx\":\"1170 1044;1165 1047\",\"si\":\"110100023102010\",\"udsu\":\"1;1\",\"poiid\":\"BV10013453\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1167 1046\",\"udli\":\"110100023102;110100023103\",\"su\":\"1\",\"rs\":\"1167 1046\"},{\"sl\":\"116.490632,39.806890\",\"sid\":\"110100023102009\",\"sp\":\"yi zhuang wen hua yuan\",\"udsi\":\"110100023102009;110100023103007\",\"n\":\"亦庄文化园\",\"udpx\":\"1188 1071;1183 1074\",\"si\":\"110100023102009\",\"udsu\":\"1;1\",\"poiid\":\"BV10013452\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1185 1072\",\"udli\":\"110100023102;110100023103\",\"su\":\"1\",\"rs\":\"1185 1072\"},{\"sl\":\"116.505403,39.802971\",\"sid\":\"110100023102008\",\"sp\":\"wan yuan jie\",\"udsi\":\"110100023102008;110100023103008\",\"n\":\"万源街\",\"udpx\":\"1204 1095;1199 1099\",\"si\":\"110100023102008\",\"udsu\":\"1;1\",\"poiid\":\"BV10013451\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1201 1097\",\"udli\":\"110100023102;110100023103\",\"su\":\"1\",\"rs\":\"1201 1097\"},{\"sl\":\"116.513321,39.793189\",\"sid\":\"110100023102007\",\"sp\":\"rong jing dong jie\",\"udsi\":\"110100023102007;110100023103009\",\"n\":\"荣京东街\",\"udpx\":\"1222 1121;1217 1124\",\"si\":\"110100023102007\",\"udsu\":\"1;1\",\"poiid\":\"BV10003511\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1219 1122\",\"udli\":\"110100023102;110100023103\",\"su\":\"1\",\"rs\":\"1219 1122\"},{\"sl\":\"116.521688,39.782832\",\"sid\":\"110100023102006\",\"sp\":\"rong chang dong jie\",\"udsi\":\"110100023103010;110100023102006\",\"n\":\"荣昌东街\",\"udpx\":\"1232 1148;1237 1145\",\"si\":\"110100023102006\",\"udsu\":\"1;1\",\"poiid\":\"BV10013450\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1235 1147\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1234 1147\"},{\"sl\":\"116.539901,39.772962\",\"sid\":\"110100023102005\",\"sp\":\"tong ji nan lu\",\"udsi\":\"110100023103011;110100023102005\",\"n\":\"同济南路\",\"udpx\":\"1272 1176;1273 1171\",\"si\":\"110100023102005\",\"udsu\":\"1;1\",\"poiid\":\"BV10007921\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"4\",\"p\":\"1273 1174\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1273 1174\"},{\"sl\":\"116.562321,39.783673\",\"sid\":\"110100023102004\",\"sp\":\"jing hai lu\",\"udsi\":\"110100023103012;110100023102004\",\"n\":\"经海路\",\"udpx\":\"1327 1176;1327 1171\",\"si\":\"110100023102004\",\"udsu\":\"1;1\",\"poiid\":\"BV10013449\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"4\",\"p\":\"1327 1174\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1327 1174\"},{\"sl\":\"116.581357,39.795118\",\"sid\":\"110100023102003\",\"sp\":\"ci qu nan\",\"udsi\":\"110100023103013;110100023102003\",\"n\":\"次渠南\",\"udpx\":\"1380 1176;1380 1171\",\"si\":\"110100023102003\",\"udsu\":\"1;1\",\"poiid\":\"BV10013448\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"4\",\"p\":\"1380 1174\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1380 1174\"},{\"sl\":\"116.591502,39.803500\",\"sid\":\"110100023062002\",\"sp\":\"ci qu\",\"udsi\":\"110100023103014;110100023102002\",\"n\":\"次渠\",\"udpx\":\"1432 1176;1432 1171\",\"si\":\"110100023062002\",\"udsu\":\"1;1\",\"poiid\":\"BV10011266\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"4\",\"p\":\"1432 1174\",\"udli\":\"110100023103;110100023102\",\"su\":\"1\",\"rs\":\"1432 1174\"},{\"sl\":\"116.601913,39.812607\",\"sid\":\"110100023102015\",\"sp\":\"yi zhuang huo che zhan\",\"udsi\":\"110100023102015;110100023103015\",\"n\":\"亦庄火车站\",\"udpx\":\"1479 1171;1479 1176\",\"si\":\"110100023102015\",\"udsu\":\"1;1\",\"poiid\":\"BV10013399\",\"t\":\"0\",\"r\":\"110100023102\",\"lg\":\"2\",\"p\":\"1479 1174\",\"udli\":\"110100023102;110100023103\",\"su\":\"1\",\"rs\":\"1479 1174\"}],\"kn\":\"地铁亦庄线\",\"x\":23}],\"i\":\"1100\"}'"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "html_text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "station_location = {}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cut(pattern,string):\n",
    "    '''正则匹配'''\n",
    "    return re.findall(pattern,string)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "pattern_station = re.compile(r'\"sl\":\"(\\d+.\\d+),(\\d+.\\d+)\",\"sid\":\"\\d+\",\"sp\":\"[\\w\\s]*\",\"udsi\":\"\\d+;\\d+\",\"n\":\"(\\w+)\"')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "string = '\"sl\":\"116.363355,39.899433\",\"sid\":\"110100023098015\",\"sp\":\"chang chun jie\",\"udsi\":\"110100023098015;110100023099006\",\"n\":\"长椿街\"'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('116.163167', '39.923620', '金安桥'),\n",
       " ('116.134010', '39.916030', '四道桥'),\n",
       " ('116.125809', '39.912383', '桥户营'),\n",
       " ('116.122225', '39.905138', '上岸'),\n",
       " ('116.123254', '39.895780', '栗园庄'),\n",
       " ('116.114443', '39.890465', '小园'),\n",
       " ('116.100334', '39.889378', '石厂'),\n",
       " ('116.177388', '39.926727', '苹果园'),\n",
       " ('116.190337', '39.907450', '古城'),\n",
       " ('116.212684', '39.907442', '八角游乐园'),\n",
       " ('116.235948', '39.907440', '八宝山'),\n",
       " ('116.252888', '39.907433', '玉泉路'),\n",
       " ('116.273987', '39.907456', '五棵松'),\n",
       " ('116.294765', '39.907474', '万寿路'),\n",
       " ('116.309919', '39.907469', '公主坟'),\n",
       " ('116.321459', '39.907422', '军事博物馆'),\n",
       " ('116.337583', '39.907379', '木樨地'),\n",
       " ('116.352583', '39.907234', '南礼士路'),\n",
       " ('116.356866', '39.907242', '复兴门'),\n",
       " ('116.374072', '39.907383', '西单'),\n",
       " ('116.391278', '39.907472', '天安门西'),\n",
       " ('116.401216', '39.907780', '天安门东'),\n",
       " ('116.411571', '39.908069', '王府井'),\n",
       " ('116.418480', '39.908325', '东单'),\n",
       " ('116.435806', '39.908501', '建国门'),\n",
       " ('116.450497', '39.908454', '永安里'),\n",
       " ('116.461841', '39.909104', '国贸'),\n",
       " ('116.475783', '39.908287', '大望路'),\n",
       " ('116.495456', '39.908749', '四惠'),\n",
       " ('116.515664', '39.908495', '四惠东'),\n",
       " ('116.393776', '39.948972', '鼓楼大街'),\n",
       " ('116.408240', '39.949180', '安定门'),\n",
       " ('116.417069', '39.949336', '雍和宫'),\n",
       " ('116.435842', '39.941626', '东直门'),\n",
       " ('116.434133', '39.933801', '东四十条'),\n",
       " ('116.434584', '39.924499', '朝阳门'),\n",
       " ('116.435806', '39.908501', '建国门'),\n",
       " ('116.427287', '39.904983', '北京站'),\n",
       " ('116.417093', '39.901063', '崇文门'),\n",
       " ('116.397937', '39.900192', '前门'),\n",
       " ('116.384209', '39.900098', '和平门'),\n",
       " ('116.374314', '39.899765', '宣武门'),\n",
       " ('116.363355', '39.899433', '长椿街'),\n",
       " ('116.356866', '39.907242', '复兴门'),\n",
       " ('116.356009', '39.923686', '阜成门'),\n",
       " ('116.354357', '39.932397', '车公庄'),\n",
       " ('116.319932', '39.670342', '天宫院'),\n",
       " ('116.321662', '39.686510', '生物医药基地'),\n",
       " ('116.319079', '39.712387', '义和庄'),\n",
       " ('116.332611', '39.722966', '黄村火车站'),\n",
       " ('116.332631', '39.731769', '黄村西大街'),\n",
       " ('116.332513', '39.742724', '清源路'),\n",
       " ('116.332204', '39.753458', '枣园'),\n",
       " ('116.331605', '39.763489', '高米店南'),\n",
       " ('116.330787', '39.773547', '高米店北'),\n",
       " ('116.328689', '39.789800', '西红门'),\n",
       " ('116.365549', '39.812592', '新宫'),\n",
       " ('116.370796', '39.836135', '公益西桥'),\n",
       " ('116.371154', '39.845850', '角门西'),\n",
       " ('116.371361', '39.853109', '马家堡'),\n",
       " ('116.378963', '39.865029', '北京南站'),\n",
       " ('116.374383', '39.878470', '陶然亭'),\n",
       " ('116.374425', '39.889296', '菜市口'),\n",
       " ('116.374314', '39.899765', '宣武门'),\n",
       " ('116.374072', '39.907383', '西单'),\n",
       " ('116.373746', '39.915912', '灵境胡同'),\n",
       " ('116.373332', '39.924206', '西四'),\n",
       " ('116.372883', '39.933949', '平安里'),\n",
       " ('116.367742', '39.940667', '新街口'),\n",
       " ('116.355426', '39.940474', '西直门'),\n",
       " ('116.339031', '39.938250', '动物园'),\n",
       " ('116.325190', '39.943114', '国家图书馆'),\n",
       " ('116.323220', '39.957904', '魏公村'),\n",
       " ('116.321367', '39.966956', '人民大学'),\n",
       " ('116.317564', '39.975996', '海淀黄庄'),\n",
       " ('116.316467', '39.983991', '中关村'),\n",
       " ('116.315842', '39.992212', '北京大学东门'),\n",
       " ('116.310186', '39.999662', '圆明园'),\n",
       " ('116.290908', '39.998258', '西苑'),\n",
       " ('116.277647', '40.002373', '北宫门'),\n",
       " ('116.269956', '40.012195', '安河桥北'),\n",
       " ('116.428368', '39.845849', '宋家庄'),\n",
       " ('116.422119', '39.857521', '刘家窑'),\n",
       " ('116.423720', '39.865621', '蒲黄榆'),\n",
       " ('116.420833', '39.882558', '天坛东门'),\n",
       " ('116.419940', '39.893172', '磁器口'),\n",
       " ('116.417093', '39.901063', '崇文门'),\n",
       " ('116.418480', '39.908325', '东单'),\n",
       " ('116.417783', '39.917113', '灯市口'),\n",
       " ('116.417493', '39.924370', '东四'),\n",
       " ('116.417156', '39.933592', '张自忠路'),\n",
       " ('116.416884', '39.940782', '北新桥'),\n",
       " ('116.417069', '39.949336', '雍和宫'),\n",
       " ('116.418504', '39.958734', '和平里北街'),\n",
       " ('116.417975', '39.968386', '和平西桥'),\n",
       " ('116.417537', '39.977121', '惠新西街南口'),\n",
       " ('116.417028', '39.987836', '惠新西街北口'),\n",
       " ('116.417377', '40.003841', '大屯路东'),\n",
       " ('116.418089', '40.030436', '北苑路北'),\n",
       " ('116.414496', '40.041956', '立水桥南'),\n",
       " ('116.412350', '40.053032', '立水桥'),\n",
       " ('116.412661', '40.066458', '天通苑南'),\n",
       " ('116.412759', '40.075222', '天通苑'),\n",
       " ('116.412888', '40.083668', '天通苑北'),\n",
       " ('116.747434', '39.902652', '潞城'),\n",
       " ('116.733850', '39.903147', '东夏园'),\n",
       " ('116.717826', '39.903195', '郝家府'),\n",
       " ('116.707056', '39.903268', '北运河东'),\n",
       " ('116.688358', '39.903024', '北运河西'),\n",
       " ('116.661131', '39.917962', '通州北关'),\n",
       " ('116.639316', '39.926801', '物资学院路'),\n",
       " ('116.615574', '39.924477', '草房'),\n",
       " ('116.599722', '39.925696', '常营'),\n",
       " ('116.578266', '39.924201', '黄渠'),\n",
       " ('116.563961', '39.924021', '褡裢坡'),\n",
       " ('116.517429', '39.923168', '青年路'),\n",
       " ('116.502045', '39.923076', '十里堡'),\n",
       " ('116.478115', '39.923556', '金台路'),\n",
       " ('116.461618', '39.923337', '呼家楼'),\n",
       " ('116.451657', '39.923054', '东大桥'),\n",
       " ('116.434584', '39.924499', '朝阳门'),\n",
       " ('116.417493', '39.924370', '东四'),\n",
       " ('116.404192', '39.933848', '南锣鼓巷'),\n",
       " ('116.386829', '39.933247', '北海北'),\n",
       " ('116.372883', '39.933949', '平安里'),\n",
       " ('116.354357', '39.932397', '车公庄'),\n",
       " ('116.344082', '39.932466', '车公庄西'),\n",
       " ('116.325680', '39.933022', '白石桥南'),\n",
       " ('116.310683', '39.932340', '花园桥'),\n",
       " ('116.295467', '39.933268', '慈寿寺'),\n",
       " ('116.276531', '39.932584', '海淀五路居'),\n",
       " ('116.252914', '39.929503', '田村'),\n",
       " ('116.227292', '39.932422', '廖公庄'),\n",
       " ('116.206932', '39.933605', '西黄村'),\n",
       " ('116.187004', '39.927850', '杨庄'),\n",
       " ('116.163167', '39.923620', '金安桥'),\n",
       " ('116.537247', '39.855488', '焦化厂'),\n",
       " ('116.526836', '39.859691', '双合'),\n",
       " ('116.511821', '39.860728', '垡头'),\n",
       " ('116.500067', '39.866505', '欢乐谷景区'),\n",
       " ('116.501084', '39.874578', '南楼梓庄'),\n",
       " ('116.503439', '39.887369', '化工'),\n",
       " ('116.497768', '39.892530', '百子湾'),\n",
       " ('116.487935', '39.893183', '大郊亭'),\n",
       " ('116.478695', '39.893222', '九龙山'),\n",
       " ('116.448998', '39.893648', '广渠门外'),\n",
       " ('116.433877', '39.893673', '广渠门内'),\n",
       " ('116.419940', '39.893172', '磁器口'),\n",
       " ('116.408464', '39.892725', '桥湾'),\n",
       " ('116.398104', '39.891267', '珠市口'),\n",
       " ('116.384596', '39.889486', '虎坊桥'),\n",
       " ('116.374425', '39.889296', '菜市口'),\n",
       " ('116.358239', '39.889418', '广安门内'),\n",
       " ('116.336455', '39.889884', '达官营'),\n",
       " ('116.327753', '39.889954', '湾子'),\n",
       " ('116.321218', '39.894706', '北京西站'),\n",
       " ('116.410803', '39.923705', '中国美术馆'),\n",
       " ('116.404192', '39.933848', '南锣鼓巷'),\n",
       " ('116.396219', '39.937583', '什刹海'),\n",
       " ('116.393776', '39.948972', '鼓楼大街'),\n",
       " ('116.395145', '39.957227', '安德里北街'),\n",
       " ('116.394655', '39.968507', '安华桥'),\n",
       " ('116.394193', '39.976953', '北土城'),\n",
       " ('116.393759', '39.985837', '奥体中心'),\n",
       " ('116.391758', '40.002207', '奥林匹克公园'),\n",
       " ('116.392600', '40.010122', '森林公园南门'),\n",
       " ('116.372998', '40.021906', '林萃桥'),\n",
       " ('116.354580', '40.037728', '永泰庄'),\n",
       " ('116.351644', '40.046873', '西小口'),\n",
       " ('116.347328', '40.060039', '育新'),\n",
       " ('116.360286', '40.071857', '霍营'),\n",
       " ('116.363025', '40.081175', '回龙观东大街'),\n",
       " ('116.350425', '40.090607', '平西府'),\n",
       " ('116.326992', '40.087863', '育知路'),\n",
       " ('116.313698', '40.104297', '朱辛庄'),\n",
       " ('116.398104', '39.891267', '珠市口'),\n",
       " ('116.398712', '39.881920', '天桥'),\n",
       " ('116.399369', '39.867435', '永定门外'),\n",
       " ('116.399839', '39.859262', '木樨园'),\n",
       " ('116.400301', '39.851805', '海户屯'),\n",
       " ('116.401045', '39.836715', '大红门南'),\n",
       " ('116.402073', '39.814838', '和义'),\n",
       " ('116.409427', '39.805074', '东高地'),\n",
       " ('116.418627', '39.799287', '火箭万源'),\n",
       " ('116.423903', '39.785046', '五福堂'),\n",
       " ('116.441617', '39.772709', '德茂'),\n",
       " ('116.448958', '39.760694', '瀛海'),\n",
       " ('116.301889', '39.814322', '郭公庄'),\n",
       " ('116.297176', '39.825233', '丰台科技园'),\n",
       " ('116.297432', '39.832480', '科怡路'),\n",
       " ('116.296748', '39.840444', '丰台南路'),\n",
       " ('116.293857', '39.855111', '丰台东大街'),\n",
       " ('116.294292', '39.866773', '七里庄'),\n",
       " ('116.302808', '39.880239', '六里桥'),\n",
       " ('116.315142', '39.886886', '六里桥东'),\n",
       " ('116.321218', '39.894706', '北京西站'),\n",
       " ('116.321459', '39.907422', '军事博物馆'),\n",
       " ('116.325762', '39.923818', '白堆子'),\n",
       " ('116.325680', '39.933022', '白石桥南'),\n",
       " ('116.325190', '39.943114', '国家图书馆'),\n",
       " ('116.306332', '39.975642', '苏州街'),\n",
       " ('116.317564', '39.975996', '海淀黄庄'),\n",
       " ('116.328709', '39.976334', '知春里'),\n",
       " ('116.339960', '39.976476', '知春路'),\n",
       " ('116.354098', '39.976549', '西土城'),\n",
       " ('116.369844', '39.976603', '牡丹园'),\n",
       " ('116.381353', '39.976723', '健德门'),\n",
       " ('116.394193', '39.976953', '北土城'),\n",
       " ('116.405954', '39.977005', '安贞门'),\n",
       " ('116.417537', '39.977121', '惠新西街南口'),\n",
       " ('116.435914', '39.977636', '芍药居'),\n",
       " ('116.447469', '39.972678', '太阳宫'),\n",
       " ('116.456997', '39.961508', '三元桥'),\n",
       " ('116.461794', '39.949415', '亮马桥'),\n",
       " ('116.461724', '39.941344', '农业展览馆'),\n",
       " ('116.461806', '39.933747', '团结湖'),\n",
       " ('116.461618', '39.923337', '呼家楼'),\n",
       " ('116.461743', '39.916838', '金台夕照'),\n",
       " ('116.461841', '39.909104', '国贸'),\n",
       " ('116.460627', '39.893479', '双井'),\n",
       " ('116.461325', '39.884387', '劲松'),\n",
       " ('116.460926', '39.875387', '潘家园'),\n",
       " ('116.457983', '39.866417', '十里河'),\n",
       " ('116.453976', '39.852227', '分钟寺'),\n",
       " ('116.447531', '39.845874', '成寿寺'),\n",
       " ('116.428368', '39.845849', '宋家庄'),\n",
       " ('116.414103', '39.845905', '石榴庄'),\n",
       " ('116.399154', '39.845383', '大红门'),\n",
       " ('116.385649', '39.845135', '角门东'),\n",
       " ('116.371154', '39.845850', '角门西'),\n",
       " ('116.351387', '39.845869', '草桥'),\n",
       " ('116.333381', '39.844433', '纪家庙'),\n",
       " ('116.320202', '39.844463', '首经贸'),\n",
       " ('116.304540', '39.849639', '丰台站'),\n",
       " ('116.304173', '39.858609', '泥洼'),\n",
       " ('116.303819', '39.866770', '西局'),\n",
       " ('116.302808', '39.880239', '六里桥'),\n",
       " ('116.310347', '39.897867', '莲花桥'),\n",
       " ('116.309919', '39.907469', '公主坟'),\n",
       " ('116.298064', '39.923481', '西钓鱼台'),\n",
       " ('116.295467', '39.933268', '慈寿寺'),\n",
       " ('116.294255', '39.958527', '长春桥'),\n",
       " ('116.289058', '39.965938', '火器营'),\n",
       " ('116.355426', '39.940474', '西直门'),\n",
       " ('116.345139', '39.966612', '大钟寺'),\n",
       " ('116.339960', '39.976476', '知春路'),\n",
       " ('116.337742', '39.992894', '五道口'),\n",
       " ('116.320193', '40.033007', '上地'),\n",
       " ('116.306295', '40.053034', '西二旗'),\n",
       " ('116.319429', '40.070882', '龙泽'),\n",
       " ('116.336116', '40.070800', '回龙观'),\n",
       " ('116.360286', '40.071857', '霍营'),\n",
       " ('116.412350', '40.053032', '立水桥'),\n",
       " ('116.434518', '40.042997', '北苑'),\n",
       " ('116.449884', '39.995724', '望京西'),\n",
       " ('116.435914', '39.977636', '芍药居'),\n",
       " ('116.431761', '39.968337', '光熙门'),\n",
       " ('116.432728', '39.958157', '柳芳'),\n",
       " ('116.435842', '39.941626', '东直门'),\n",
       " ('116.478195', '40.027160', '善各庄'),\n",
       " ('116.466994', '40.020588', '来广营'),\n",
       " ('116.467412', '40.010670', '东湖渠'),\n",
       " ('116.469409', '39.998521', '望京'),\n",
       " ('116.471740', '39.991699', '阜通'),\n",
       " ('116.481634', '39.984634', '望京南'),\n",
       " ('116.489496', '39.971109', '将台'),\n",
       " ('116.485919', '39.958375', '东风北桥'),\n",
       " ('116.474947', '39.944132', '枣营'),\n",
       " ('116.478291', '39.933492', '朝阳公园'),\n",
       " ('116.478115', '39.923556', '金台路'),\n",
       " ('116.475783', '39.908287', '大望路'),\n",
       " ('116.478695', '39.893222', '九龙山'),\n",
       " ('116.477307', '39.885275', '平乐园'),\n",
       " ('116.477319', '39.875445', '北工大西门'),\n",
       " ('116.457983', '39.866417', '十里河'),\n",
       " ('116.440244', '39.865868', '方庄'),\n",
       " ('116.423720', '39.865621', '蒲黄榆'),\n",
       " ('116.411027', '39.865255', '景泰'),\n",
       " ('116.399369', '39.867435', '永定门外'),\n",
       " ('116.378963', '39.865029', '北京南站'),\n",
       " ('116.303819', '39.866770', '西局'),\n",
       " ('116.294292', '39.866773', '七里庄'),\n",
       " ('116.276061', '39.865226', '大井'),\n",
       " ('116.253068', '39.864841', '郭庄子'),\n",
       " ('116.240480', '39.859470', '大瓦窑'),\n",
       " ('116.201643', '39.861328', '园博园'),\n",
       " ('116.187193', '39.858100', '张郭庄'),\n",
       " ('116.684732', '40.132573', '俸伯'),\n",
       " ('116.657023', '40.129994', '顺义'),\n",
       " ('116.641117', '40.129802', '石门'),\n",
       " ('116.609535', '40.128478', '南法信'),\n",
       " ('116.564211', '40.114127', '后沙峪'),\n",
       " ('116.557593', '40.084436', '花梨坎'),\n",
       " ('116.555127', '40.070030', '国展'),\n",
       " ('116.534700', '40.045113', '孙河'),\n",
       " ('116.503480', '40.033721', '马泉营'),\n",
       " ('116.492968', '40.022201', '崔各庄'),\n",
       " ('116.487105', '40.003200', '望京东'),\n",
       " ('116.469409', '39.998521', '望京'),\n",
       " ('116.449884', '39.995724', '望京西'),\n",
       " ('116.430947', '40.001134', '关庄'),\n",
       " ('116.417377', '40.003841', '大屯路东'),\n",
       " ('116.407845', '40.002619', '安立路'),\n",
       " ('116.391758', '40.002207', '奥林匹克公园'),\n",
       " ('116.368143', '40.001492', '北沙滩'),\n",
       " ('116.352670', '40.000958', '六道口'),\n",
       " ('116.339530', '40.000673', '清华东路西口'),\n",
       " ('116.130428', '40.068128', '北安河'),\n",
       " ('116.161361', '40.068516', '温阳路'),\n",
       " ('116.188145', '40.068936', '稻香湖路'),\n",
       " ('116.215850', '40.068454', '屯佃'),\n",
       " ('116.238481', '40.071868', '永丰'),\n",
       " ('116.248154', '40.065575', '永丰南'),\n",
       " ('116.257923', '40.048703', '西北旺'),\n",
       " ('116.272520', '40.032637', '马连洼'),\n",
       " ('116.282272', '40.021398', '农大南路'),\n",
       " ('116.290908', '39.998258', '西苑'),\n",
       " ('116.495456', '39.908749', '四惠'),\n",
       " ('116.515664', '39.908495', '四惠东'),\n",
       " ('116.531421', '39.909448', '高碑店'),\n",
       " ('116.554639', '39.909215', '传媒大学'),\n",
       " ('116.576709', '39.910139', '双桥'),\n",
       " ('116.599002', '39.909090', '管庄'),\n",
       " ('116.618658', '39.906121', '八里桥'),\n",
       " ('116.637252', '39.903864', '通州北苑'),\n",
       " ('116.646606', '39.893393', '果园'),\n",
       " ('116.657533', '39.890278', '九棵树'),\n",
       " ('116.668720', '39.883677', '梨园'),\n",
       " ('116.678811', '39.875496', '临河里'),\n",
       " ('116.686349', '39.871926', '土桥'),\n",
       " ('116.195371', '40.244624', '昌平西山口'),\n",
       " ('116.207729', '40.240255', '十三陵景区'),\n",
       " ('116.233590', '40.220550', '昌平'),\n",
       " ('116.262059', '40.221726', '昌平东关'),\n",
       " ('116.281949', '40.222001', '北邵洼'),\n",
       " ('116.287534', '40.207492', '南邵'),\n",
       " ('116.280465', '40.164666', '沙河高教园'),\n",
       " ('116.288865', '40.148278', '沙河'),\n",
       " ('116.293979', '40.130900', '巩华城'),\n",
       " ('116.313698', '40.104297', '朱辛庄'),\n",
       " ('116.294230', '40.094790', '生命科学园'),\n",
       " ('116.306295', '40.053034', '西二旗'),\n",
       " ('116.100817', '39.729028', '阎村东'),\n",
       " ('116.125306', '39.723188', '苏庄'),\n",
       " ('116.140804', '39.723202', '良乡南关'),\n",
       " ('116.156282', '39.723157', '良乡大学城西'),\n",
       " ('116.176541', '39.723159', '良乡大学城'),\n",
       " ('116.183480', '39.729906', '良乡大学城北'),\n",
       " ('116.184985', '39.747930', '广阳城'),\n",
       " ('116.189486', '39.760636', '篱笆房'),\n",
       " ('116.212692', '39.763871', '长阳'),\n",
       " ('116.218840', '39.794885', '稻田'),\n",
       " ('116.291681', '39.807810', '大葆台'),\n",
       " ('116.301889', '39.814322', '郭公庄'),\n",
       " ('116.615583', '40.052657', 'T3航站楼'),\n",
       " ('116.592808', '40.079311', 'T2航站楼'),\n",
       " ('116.456997', '39.961508', '三元桥'),\n",
       " ('116.435842', '39.941626', '东直门'),\n",
       " ('116.293727', '39.974179', '巴沟'),\n",
       " ('116.263248', '39.985697', '颐和园西门'),\n",
       " ('116.248100', '39.982113', '茶棚'),\n",
       " ('116.231977', '39.984001', '万安'),\n",
       " ('116.214853', '39.993582', '植物园'),\n",
       " ('116.204491', '39.994056', '香山'),\n",
       " ('116.100817', '39.729028', '阎村东'),\n",
       " ('116.086720', '39.724606', '紫草坞'),\n",
       " ('116.080165', '39.716731', '阎村'),\n",
       " ('116.061370', '39.713681', '星城'),\n",
       " ('116.039906', '39.709893', '大石河东'),\n",
       " ('116.016606', '39.705103', '马各庄'),\n",
       " ('116.006103', '39.701471', '饶乐府'),\n",
       " ('115.989599', '39.706061', '房山城关'),\n",
       " ('115.973395', '39.719615', '燕山'),\n",
       " ('116.428368', '39.845849', '宋家庄'),\n",
       " ('116.448364', '39.834217', '肖村'),\n",
       " ('116.459226', '39.827951', '小红门'),\n",
       " ('116.460789', '39.806910', '旧宫'),\n",
       " ('116.480307', '39.803011', '亦庄桥'),\n",
       " ('116.490632', '39.806890', '亦庄文化园'),\n",
       " ('116.505403', '39.802971', '万源街'),\n",
       " ('116.513321', '39.793189', '荣京东街'),\n",
       " ('116.521688', '39.782832', '荣昌东街'),\n",
       " ('116.539901', '39.772962', '同济南路'),\n",
       " ('116.562321', '39.783673', '经海路'),\n",
       " ('116.581357', '39.795118', '次渠南'),\n",
       " ('116.591502', '39.803500', '次渠'),\n",
       " ('116.601913', '39.812607', '亦庄火车站')]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "station_list = cut(pattern_station,html_text)\n",
    "station_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "#将数据放入字典内\n",
    "for lon,lat,name in station_list:\n",
    "    if name not in station_location:\n",
    "        station_location[name] = (float(lon),float(lat))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(116.526836, 39.859691)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "station_location['双合']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "def geo_distance(origin, destination):\n",
    "    \"\"\"\n",
    "    Calculate the Haversine distance.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    origin : tuple of float\n",
    "        (lat, long)\n",
    "    destination : tuple of float\n",
    "        (lat, long)\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    distance_in_km : float\n",
    "\n",
    "    Examples\n",
    "    --------\n",
    "    >>> origin = (48.1372, 11.5756)  # Munich\n",
    "    >>> destination = (52.5186, 13.4083)  # Berlin\n",
    "    >>> round(distance(origin, destination), 1)\n",
    "    504.2\n",
    "    \"\"\"\n",
    "    lat1, lon1 = origin\n",
    "    lat2, lon2 = destination\n",
    "    radius = 6371  # km\n",
    "\n",
    "    dlat = math.radians(lat2 - lat1)\n",
    "    dlon = math.radians(lon2 - lon1)\n",
    "    a = (math.sin(dlat / 2) * math.sin(dlat / 2) +\n",
    "         math.cos(math.radians(lat1)) * math.cos(math.radians(lat2)) *\n",
    "         math.sin(dlon / 2) * math.sin(dlon / 2))\n",
    "    c = 2 * math.atan2(math.sqrt(a), math.sqrt(1 - a))\n",
    "    d = radius * c\n",
    "\n",
    "    return d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_station_distance(station1,station2):\n",
    "    return geo_distance(station_location[station1],station_location[station2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20.638175569493985"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_station_distance('双合','车公庄西')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "plt.figure(3,figsize=(18,18))\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "station_graph = nx.Graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "station_graph.add_nodes_from(list(station_location.keys()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NodeView(('金安桥', '四道桥', '桥户营', '上岸', '栗园庄', '小园', '石厂', '苹果园', '古城', '八角游乐园', '八宝山', '玉泉路', '五棵松', '万寿路', '公主坟', '军事博物馆', '木樨地', '南礼士路', '复兴门', '西单', '天安门西', '天安门东', '王府井', '东单', '建国门', '永安里', '国贸', '大望路', '四惠', '四惠东', '鼓楼大街', '安定门', '雍和宫', '东直门', '东四十条', '朝阳门', '北京站', '崇文门', '前门', '和平门', '宣武门', '长椿街', '阜成门', '车公庄', '天宫院', '生物医药基地', '义和庄', '黄村火车站', '黄村西大街', '清源路', '枣园', '高米店南', '高米店北', '西红门', '新宫', '公益西桥', '角门西', '马家堡', '北京南站', '陶然亭', '菜市口', '灵境胡同', '西四', '平安里', '新街口', '西直门', '动物园', '国家图书馆', '魏公村', '人民大学', '海淀黄庄', '中关村', '北京大学东门', '圆明园', '西苑', '北宫门', '安河桥北', '宋家庄', '刘家窑', '蒲黄榆', '天坛东门', '磁器口', '灯市口', '东四', '张自忠路', '北新桥', '和平里北街', '和平西桥', '惠新西街南口', '惠新西街北口', '大屯路东', '北苑路北', '立水桥南', '立水桥', '天通苑南', '天通苑', '天通苑北', '潞城', '东夏园', '郝家府', '北运河东', '北运河西', '通州北关', '物资学院路', '草房', '常营', '黄渠', '褡裢坡', '青年路', '十里堡', '金台路', '呼家楼', '东大桥', '南锣鼓巷', '北海北', '车公庄西', '白石桥南', '花园桥', '慈寿寺', '海淀五路居', '田村', '廖公庄', '西黄村', '杨庄', '焦化厂', '双合', '垡头', '欢乐谷景区', '南楼梓庄', '化工', '百子湾', '大郊亭', '九龙山', '广渠门外', '广渠门内', '桥湾', '珠市口', '虎坊桥', '广安门内', '达官营', '湾子', '北京西站', '中国美术馆', '什刹海', '安德里北街', '安华桥', '北土城', '奥体中心', '奥林匹克公园', '森林公园南门', '林萃桥', '永泰庄', '西小口', '育新', '霍营', '回龙观东大街', '平西府', '育知路', '朱辛庄', '天桥', '永定门外', '木樨园', '海户屯', '大红门南', '和义', '东高地', '火箭万源', '五福堂', '德茂', '瀛海', '郭公庄', '丰台科技园', '科怡路', '丰台南路', '丰台东大街', '七里庄', '六里桥', '六里桥东', '白堆子', '苏州街', '知春里', '知春路', '西土城', '牡丹园', '健德门', '安贞门', '芍药居', '太阳宫', '三元桥', '亮马桥', '农业展览馆', '团结湖', '金台夕照', '双井', '劲松', '潘家园', '十里河', '分钟寺', '成寿寺', '石榴庄', '大红门', '角门东', '草桥', '纪家庙', '首经贸', '丰台站', '泥洼', '西局', '莲花桥', '西钓鱼台', '长春桥', '火器营', '大钟寺', '五道口', '上地', '西二旗', '龙泽', '回龙观', '北苑', '望京西', '光熙门', '柳芳', '善各庄', '来广营', '东湖渠', '望京', '阜通', '望京南', '将台', '东风北桥', '枣营', '朝阳公园', '平乐园', '北工大西门', '方庄', '景泰', '大井', '郭庄子', '大瓦窑', '园博园', '张郭庄', '俸伯', '顺义', '石门', '南法信', '后沙峪', '花梨坎', '国展', '孙河', '马泉营', '崔各庄', '望京东', '关庄', '安立路', '北沙滩', '六道口', '清华东路西口', '北安河', '温阳路', '稻香湖路', '屯佃', '永丰', '永丰南', '西北旺', '马连洼', '农大南路', '高碑店', '传媒大学', '双桥', '管庄', '八里桥', '通州北苑', '果园', '九棵树', '梨园', '临河里', '土桥', '昌平西山口', '十三陵景区', '昌平', '昌平东关', '北邵洼', '南邵', '沙河高教园', '沙河', '巩华城', '生命科学园', '阎村东', '苏庄', '良乡南关', '良乡大学城西', '良乡大学城', '良乡大学城北', '广阳城', '篱笆房', '长阳', '稻田', '大葆台', 'T3航站楼', 'T2航站楼', '巴沟', '颐和园西门', '茶棚', '万安', '植物园', '香山', '紫草坞', '阎村', '星城', '大石河东', '马各庄', '饶乐府', '房山城关', '燕山', '肖村', '小红门', '旧宫', '亦庄桥', '亦庄文化园', '万源街', '荣京东街', '荣昌东街', '同济南路', '经海路', '次渠南', '次渠', '亦庄火车站'))"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "station_graph.nodes()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(station_graph,station_location,node_size = 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.将各号线上相邻的地铁站点连接起来"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import defaultdict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "defaultdict(list, {})"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stations_connection = defaultdict(list)\n",
    "stations_connection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "for line in subway_lines_stations.keys():\n",
    "    for i,station in enumerate(subway_lines_stations[line][:-1]):\n",
    "        if station == subway_lines_stations[line][i+1]: continue\n",
    "        \n",
    "        if subway_lines_stations[line][i+1] not in stations_connection[station]:\n",
    "            stations_connection[station].append(subway_lines_stations[line][i+1])\n",
    "        if station not in stations_connection[subway_lines_stations[line][i+1]]:\n",
    "            stations_connection[subway_lines_stations[line][i+1]].append(station)       "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['北海北', '东四', '什刹海']"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stations_connection['南锣鼓巷']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "stations_graph_connection = nx.Graph(stations_connection)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "EdgeView([('南邵', '沙河高教园'), ('沙河高教园', '沙河'), ('沙河', '巩华城'), ('巩华城', '朱辛庄'), ('朱辛庄', '生命科学园'), ('朱辛庄', '育知路'), ('生命科学园', '西二旗'), ('西二旗', '上地'), ('西二旗', '龙泽'), ('积水潭', '鼓楼大街'), ('鼓楼大街', '安定门'), ('鼓楼大街', '安华桥'), ('鼓楼大街', '什刹海'), ('安定门', '雍和宫'), ('雍和宫', '东直门'), ('雍和宫', '北新桥'), ('雍和宫', '和平里北街'), ('东直门', '东四十条'), ('东直门', '柳芳'), ('东直门', '三元桥'), ('东四十条', '朝阳门'), ('朝阳门', '建国门'), ('朝阳门', '东四'), ('朝阳门', '东大桥'), ('建国门', '北京站'), ('建国门', '东单'), ('建国门', '永安里'), ('北京站', '崇文门'), ('崇文门', '前门'), ('崇文门', '磁器口'), ('崇文门', '东单'), ('前门', '和平门'), ('和平门', '宣武门'), ('宣武门', '长椿街'), ('宣武门', '西单'), ('宣武门', '菜市口'), ('长椿街', '复兴门'), ('复兴门', '阜成门'), ('复兴门', '南礼士路'), ('复兴门', '西单'), ('阜成门', '车公庄'), ('车公庄', '西直门'), ('车公庄', '车公庄西'), ('车公庄', '平安里'), ('西直门', '大钟寺'), ('西直门', '动物园'), ('西直门', '新街口'), ('宋家庄', '刘家窑'), ('宋家庄', '肖村'), ('宋家庄', '成寿寺'), ('宋家庄', '石榴庄'), ('刘家窑', '蒲黄榆'), ('蒲黄榆', '天坛东门'), ('蒲黄榆', '景泰'), ('蒲黄榆', '方庄'), ('天坛东门', '磁器口'), ('磁器口', '桥湾'), ('磁器口', '广渠门内'), ('东单', '灯市口'), ('东单', '王府井'), ('灯市口', '东四'), ('东四', '张自忠路'), ('东四', '南锣鼓巷'), ('张自忠路', '北新桥'), ('和平里北街', '和平西桥'), ('和平西桥', '惠新西街南口'), ('惠新西街南口', '惠新西街北口'), ('惠新西街南口', '安贞门'), ('惠新西街南口', '芍药居'), ('惠新西街北口', '大屯路东'), ('大屯路东', '北苑路北'), ('北苑路北', '立水桥南'), ('立水桥南', '立水桥'), ('立水桥', '天通苑南'), ('立水桥', '霍营'), ('立水桥', '北苑'), ('天通苑南', '天通苑'), ('天通苑', '天通苑北'), ('北京南站', '永定门外'), ('北京南站', '陶然亭'), ('北京南站', '马家堡'), ('永定门外', '景泰'), ('方庄', '十里河'), ('十里河', '北工大西门'), ('十里河', '潘家园'), ('十里河', '分钟寺'), ('北工大西门', '九龙山'), ('九龙山', '大望路'), ('九龙山', '双井'), ('九龙山', '大郊亭'), ('大望路', '金台路'), ('大望路', '国贸'), ('大望路', '四惠'), ('金台路', '枣营'), ('金台路', '呼家楼'), ('金台路', '十里堡'), ('枣营', '东风北桥'), ('东风北桥', '将台'), ('将台', '望京南'), ('望京南', '阜通'), ('阜通', '望京'), ('望京', '东湖渠'), ('望京', '崔各庄'), ('望京', '望京西'), ('东湖渠', '来广营'), ('来广营', '善各庄'), ('大钟寺', '知春路'), ('知春路', '五道口'), ('知春路', '知春里'), ('知春路', '西土城'), ('五道口', '上地'), ('龙泽', '回龙观'), ('回龙观', '霍营'), ('霍营', '回龙观东大街'), ('霍营', '育新'), ('北苑', '望京西'), ('望京西', '芍药居'), ('望京西', '关庄'), ('芍药居', '光熙门'), ('芍药居', '太阳宫'), ('光熙门', '柳芳'), ('海淀五路居', '慈寿寺'), ('慈寿寺', '花园桥'), ('慈寿寺', '西钓鱼台'), ('慈寿寺', '车道沟'), ('花园桥', '白石桥南'), ('白石桥南', '车公庄西'), ('白石桥南', '白堆子'), ('白石桥南', '国家图书馆'), ('平安里', '北海北'), ('平安里', '新街口'), ('平安里', '西四'), ('北海北', '南锣鼓巷'), ('南锣鼓巷', '什刹海'), ('东大桥', '呼家楼'), ('呼家楼', '团结湖'), ('呼家楼', '金台夕照'), ('十里堡', '青年路'), ('青年路', '褡裢坡'), ('褡裢坡', '黄渠'), ('黄渠', '常营'), ('常营', '草房'), ('草房', '物资学院路'), ('物资学院路', '通州北关'), ('通州北关', '北运河西'), ('北运河西', '郝家府'), ('郝家府', '东夏园'), ('东夏园', '潞城'), ('肖村', '小红门'), ('小红门', '旧宫'), ('旧宫', '亦庄桥'), ('亦庄桥', '亦庄文化园'), ('亦庄文化园', '万源街'), ('万源街', '荣京东街'), ('荣京东街', '荣昌东街'), ('荣昌东街', '同济南路'), ('同济南路', '经海路'), ('经海路', '次渠南'), ('次渠南', '次渠'), ('张郭庄', '园博园'), ('园博园', '大瓦窑'), ('大瓦窑', '郭庄子'), ('郭庄子', '大井'), ('大井', '七里庄'), ('七里庄', '西局'), ('七里庄', '丰台东大街'), ('七里庄', '六里桥'), ('西局', '泥洼'), ('西局', '六里桥'), ('巴沟', '苏州街'), ('苏州街', '海淀黄庄'), ('海淀黄庄', '知春里'), ('海淀黄庄', '中关村'), ('海淀黄庄', '人民大学'), ('西土城', '牡丹园'), ('牡丹园', '健德门'), ('健德门', '北土城'), ('北土城', '安贞门'), ('北土城', '奥体中心'), ('北土城', '安华桥'), ('太阳宫', '三元桥'), ('三元桥', '亮马桥'), ('三元桥', 'T3航站楼'), ('亮马桥', '农业展览馆'), ('农业展览馆', '团结湖'), ('金台夕照', '国贸'), ('国贸', '双井'), ('国贸', '永安里'), ('双井', '劲松'), ('双井', '广渠门外'), ('劲松', '潘家园'), ('分钟寺', '成寿寺'), ('石榴庄', '大红门'), ('大红门', '角门东'), ('角门东', '角门西'), ('角门西', '草桥'), ('角门西', '马家堡'), ('角门西', '公益西桥'), ('草桥', '纪家庙'), ('纪家庙', '首经贸'), ('首经贸', '丰台站'), ('丰台站', '泥洼'), ('六里桥', '莲花桥'), ('六里桥', '六里桥东'), ('莲花桥', '公主坟'), ('公主坟', '西钓鱼台'), ('公主坟', '万寿路'), ('公主坟', '军事博物馆'), ('车道沟', '长春桥'), ('长春桥', '火器营'), ('郭公庄', '丰台科技园'), ('郭公庄', '大葆台'), ('丰台科技园', '科怡路'), ('科怡路', '丰台南路'), ('丰台南路', '丰台东大街'), ('六里桥东', '北京西站'), ('北京西站', '军事博物馆'), ('北京西站', '湾子'), ('军事博物馆', '白堆子'), ('军事博物馆', '木樨地'), ('国家图书馆', '魏公村'), ('国家图书馆', '动物园'), ('苹果园', '古城'), ('古城', '八角游乐园'), ('八角游乐园', '八宝山'), ('八宝山', '玉泉路'), ('玉泉路', '五棵松'), ('五棵松', '万寿路'), ('木樨地', '南礼士路'), ('西单', '天安门西'), ('西单', '灵境胡同'), ('天安门西', '天安门东'), ('天安门东', '王府井'), ('四惠', '四惠东'), ('四惠东', '高碑店'), ('育知路', '平西府'), ('平西府', '回龙观东大街'), ('育新', '西小口'), ('西小口', '永泰庄'), ('永泰庄', '林萃桥'), ('林萃桥', '森林公园南门'), ('森林公园南门', '奥林匹克公园'), ('奥林匹克公园', '奥体中心'), ('奥林匹克公园', '安立路'), ('奥林匹克公园', '北沙滩'), ('湾子', '达官营'), ('达官营', '广安门内'), ('广安门内', '菜市口'), ('菜市口', '虎坊桥'), ('菜市口', '陶然亭'), ('虎坊桥', '珠市口'), ('珠市口', '桥湾'), ('广渠门内', '广渠门外'), ('大郊亭', '百子湾'), ('百子湾', '化工'), ('化工', '南楼梓庄'), ('南楼梓庄', '欢乐谷景区'), ('欢乐谷景区', '垡头'), ('垡头', '双合'), ('双合', '焦化厂'), ('高碑店', '传媒大学'), ('传媒大学', '双桥'), ('双桥', '管庄'), ('管庄', '八里桥'), ('八里桥', '通州北苑'), ('通州北苑', '果园'), ('果园', '九棵树'), ('九棵树', '梨园'), ('梨园', '临河里'), ('临河里', '土桥'), ('T3航站楼', 'T2航站楼'), ('苏庄', '良乡南关'), ('良乡南关', '良乡大学城西'), ('良乡大学城西', '良乡大学城'), ('良乡大学城', '良乡大学城北'), ('良乡大学城北', '广阳城'), ('广阳城', '篱笆房'), ('篱笆房', '长阳'), ('长阳', '稻田'), ('稻田', '大葆台'), ('俸伯', '顺义'), ('顺义', '石门'), ('石门', '南法信'), ('南法信', '后沙峪'), ('后沙峪', '花梨坎'), ('花梨坎', '国展'), ('国展', '孙河'), ('孙河', '马泉营'), ('马泉营', '崔各庄'), ('关庄', '安立路'), ('北沙滩', '六道口'), ('六道口', '清华东路西口'), ('安河桥北', '北宫门'), ('北宫门', '西苑'), ('西苑', '圆明园'), ('圆明园', '北京大学东门'), ('北京大学东门', '中关村'), ('人民大学', '魏公村'), ('西四', '灵境胡同'), ('公益西桥', '新宫'), ('新宫', '西红门'), ('西红门', '高米店北'), ('高米店北', '高米店南'), ('高米店南', '枣园'), ('枣园', '清源路'), ('清源路', '黄村西大街'), ('黄村西大街', '黄村火车站'), ('黄村火车站', '义和庄'), ('义和庄', '生物医药基地'), ('生物医药基地', '天宫院')])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stations_graph_connection.edges()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "station_location['积水潭'] = (116.379185,39.954765)\n",
    "station_location['车道沟'] = (116.30724,39.951215)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 7200x7200 with 0 Axes>"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 7200x7200 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (100,100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VKlVK/fP19WX79u1Aydz0/v3706RJE5ydnTE3N8fa2ho7OzucnZ2ZNWsWsbGx6PV6kpOTCQkJISMjA4DPPvuM1NRUPDw8uHbtGjt37uTatWtER0eza9cuNm/eTIUKFQD45ptvSE1Nxd/fn9zcXLp06cLdu3e5ceMGcXFxzJ8/X1nl659O3v5L/5OWLVvSsmVLqlevzoULFxBCsHTpUqKiorC1teWXX37h22+/Vbb/7bffePfdd2nfvj2LFi3i7bffxtPTk06dOlG3bl3i4uJwdnamRYsWREREcOvWLWUxgnfffVdpjkpJSaFMmTLY2dlx4MABOnfuLKf1SC+FDz/8kOvXryutK5cvX0an07Fnzx4AhBAYjUa2b9/OgQMH+P7775kwYQJVq1ZV9uHs7ExaWtoTW2jWrl2LpaUlbdu25fr16xQWFtK+fXuaN29OTk4OM2fORK1WKwMImzRpgo2NDT169MDX15cOHTrw/vvvc+nSJSZNmsSWLVsAmDp1KhqNhq5du/Lll1/SuXNnQkNDWbt2LcOGDWPu3LmYm5sjhGDhwoUIIfD39+eXX35RyqbfvJmbb7/NFz//rLRI/dFAxlel2VgGWel/8vvA9ugHwWg0cvv2bY4fP45Op1P+yHJycmjdujWjR4/m8uXLZGdnU3z3LhdSU4maM4fADz5Q9vXWW28RFRXF8uXLiYuLY8WKFVy/fp1NmzZRsWJFvvrqKzQaDe+88w56vV4GWOml8emnn6LT6ZSbw1mzZuHm5kb//v2BkiBbVFQEoIxHiIqKIjk5mfHjx6NWq8nOzqZhw4YIIahXrx6LFy8GSqbHrVu3jqVLlxIaGoq5ubny9/XZZ5/h5+fH8ePHWbhwIXXq1AFKsrDpdDquXr1KYmIiffr0YcyYMcTFxZGSkkKfPn2UAK9Wqxk6dCgrVqygc+fO9O7dm02bNuHj40NeXh6enp6cOXOG8PBwrl+/jrW1NS1btiQqKorGvr6YxcczxWRiklbLFw+DLMDixYtLpUfNzc2lZcuWz/aDeEnIICs9dbm5ucod9aMVdwBsbGzYu3cvGRkZXL58mVp37nDCZKJ3cTEuEyaAtzcFrVrRuHFjJWWiEEIZjfj7O2J7e3vS09M5e/Ysubm5NG3a9PmepCT9gV27drFo0SLlcXJyMlqttlSTca9evXjnnXe4dOkS7dq1A0oC6OnTp9H8/DNevXoRM3ky4vXXMRgMyvvWrFnDrVu38PPzY82aNZw6dQpzc3MOHz5MSkoKEyZMoFKlSkqABVBlZFD8xReoc3NRPxxUePDgQU6cOEF0dDSVKlVi4MCBNHZywnTrFj379GHmoUP8+OOPWFtb06VLF+bPn4+Pjw8pKSnMnTuX7OxsMjMzKSws5MqVKxiNRtLi41loMhEMNNXr+SIvTynD0KFDS/W//vLLL6xbt+5pX/qXkgyy0lNnMBioWrUqV65ceew1Hx8f7ty5gxCCimfPgsFAMNCwsBCngQO5b2VFSEgIGo2GJk2aoNFoWLx4MQMGDODHH3+kU6dOJCYm8vXXX3P//n327dtHdna2DLLSS+PevXt07NiRjz76iIULF/Lee+8B8NVXXzFkyBDWr19PYmIiV69epWPHjrRq1Yo5c+bg4OCAevduRM+eUFCAsUcPokeP5npAAIWFhTx48IBZs2bh6urKnDlzKCoq4ubNm+Tl5REdHY0Qgn79+gElN6Qmkwlzg4H6JhOcO4cJ+C0xkXbt2pGTk4O7uztZWVmUKVMGm4IC6gmBGeBy/Dh+NjaMGDGCkJAQdDodR44cYfjw4fz444/KjW/t2rXJzMzEZDJRoUIF2leuzDsbNrBJCAItLcHK6sV9CC8ROfBJemoyMjKIj4/H0dERGxsb+vTp88RpNkajseT51q1J1OkYAFxWqfhXt27cvHmTH3/88Yn7z8/PJzIykqCgIPz8/IiPj+fixYt06NDhGZ+ZJP11lg/ngatUKi5evKgMVDpy5Ag6nQ6AMmXKULVqVS5duoSrqytr167F0dERvzfeILiggHygWVERg+fNY+TIkWzevJnjx4/j7e2NlZUVWq0Wo9FIfHw8MTExCCFwdHSkUqVKvPXWW0RGRrJ7927sdTpMgA0lP/YVHRz48ccfCQgI4LfffsPT05OEhARqeXqieVR+4Gjv3ri7u9OwYUPu3LnDzJkzmTt3Lvb29sydO5cDBw5w5MgRVq5cSevWrYmOjmbq2rVc3LCBwBEjYO1asLZ+/hf/JSRrstL/5OjRo6xYsYKUlBQ6depE8+bNqV+/PgCff/55qUERQgj0ej1NmzZVap6Hhgwh7fRpBg0axLBp05jy3Xf07du3VF8TwJ07d0hOTlaG//v5+XHt2jUMBgPLly9/fics/SMIIbh37x6JiYlcvHgRrVZLr169ANiyZQvHjh1j9uzZSl9/UlISrVu3Jj4+/j/u+9H39uOPPyY2NpZRo0aRkJCAi4sLffv2pUaNGsTExNCvXz+OHDlCTk4OQUFBTJkyhY5CsGP8eNINBmZZWpYEq06dSu2/bdu2vP/++1hZWVG/fn2GDRumzD8NDw9XtsvIyEBrY8P9ggIshACVCrWjI46OjkDJTYCtrS02NjYIZ2dISwOjESwtsWjXjlUDB1K/fn38/f2V2rjJZMLT05PWrVtjMBjIzc0lOTmZZs2aYTKZ6NatG6MeJqswjR2r1Hpln6wk/ZeEENSqVYvPPvsMZ2dn2rZty4gRIx7bLiEhAScnJ1577TVl0XYoaVozGAxsWbIEOzs7hg0bxtSpU9mzZw9FRUUsWbKErVu3UlhYiKOjI/v37+fatWvY2Njg7u5OuXLllAEmkvRnXnvtNdLT05Xc2nZ2dpQtWxZnZ2fc3Nx46623UKlUtG3bllWrVjFt2jSlH1Gn02FhYUFxcTE5OTnKzd4jgwcPpm/fvoSGhpKVlcXixYs5dOgQYWFhdOvWjcDAQOzt7Tlw4AC7d++mQoUKDBs2jPDwcA4fPkxcXByjRo3CaDSy6quv2Ni4Mf8CPmjRgj9qdI2Pjyc7O5uYmBiSk5MBWLFiBQMGDFCCrZm1NWorK4x16yJiYsDBAYC5c+eye/dugoODOXjwIIPCw4nftg2Sk2HcOPZotYzo2ZMhQ4Zw6tQpmjRpQkREBIWFhej1evbv3w/AiRMn+PLLL5/Yv2o0GjEYDBgMhif2ya5ateq//zD/Tp7PYj/Sq2DevHkiJCREmEwm5bmjR4+KkJAQ0b17d/Htt98+9p7ly5eLmTNnKo8vXrwo3N3dxYYNG8TJkyfFt99+K/Ly8kSPHj3El19+Kb777juxa9cucejQIVG+fHnRrFkzsWLFij9d/k6ShBDC2tpaGAyGv7RtUVGRyM3NFbdu3RLdu3cXd+7cEbVq1RLr1q0Tfn5+IjExsdT2I0aMECdOnBBFRUWiQoUKomHDhsLa2lqo1WqhVquFubm58PX1FYGBgeLTTz9VvvOpqanCx8dHWX7ys88+U/5ORo8eLUaOHPlY2dq0aSMSExPFsWPHRL9+/YQQQkyfPl2ULVtWuLq6irJlywp/f3/h4+Mj3N3dRY8ePURCQoJo3bq1qFu3roiKihI3btwQvr6+4ty5c6Jjx47i7bffFh07dhRvvvmmCAoKEl5eXuKnn35SrsWMGTOEnZ2d8PLyEv379//D5TF/Ly8v7y9d63862ScrPRUZGRns2rWLdevWlZr/Vq9ePZo3b06lSpXo2bPnY+97dKf7SLVq1fj5558ZOXIkaWlpDBkyhMjISC5cuMC7777LwIEDOXv2LMOHD+fAgQMEBQUxcOBAZTF5SfojJpPpTzODFRUVkZWVRaNGjTh27BhWVlacPHkSlUqlfKfDwsIYOHAgLVq0IDU1lePHj/PWW28RExPDsGHDsLKyoqioiOLiYrRaLZ9//jlLly5l2rRpXLlyhV9//ZXy5csDJd/9Pn36MHLkSJycnNiyZQtLly5FCMHkyZNJTU1lyZIlnDx5slQ5H9XEVSoVP//8MyEhISxZsgRLS0tsbGwYN24cCQkJnDhxAr1eT1hYGP7+/nTs2JHatWtjMBho0qQJ06dPp0aNGmzZsoXDhw9z//59cnNzGT58OL/99psy6lmr1TJhwgSSkpKYMGEC1tbWStKJP/Oob/pVJ9MqSi+lmJgY2rdvz6pVq2jbti0ZGRk4OzsDJU3Pnp6e2NjYACU5UX8/ZUGSnqRMmTJUr179D18vLCzkxIkTxMfHl14TGWifk0PLQ4c4dv48J0+eZO7cuWRlZfHrr79ibW2Np6cnHTp04MSJE3To0IFNmzbxzjvvsGXLFtq0aYNOp2Pw4MFs3LiR8PBwZsyYQdu2bYmIiGDmzJlotVqioqLYtGkTwcHBVKtWDR8fH7Zs2UJRUREDBgxQytm4cWNWrFhBeno6y5cvZ+XKlcpry5Yt486dO0ycOPFPr8W/rxP9KGhLT58MstILceLECa5du0bfvn355JNPKC4uZsaMGY9t07lzZ9atW8drr70GlKSo69mzJ76+vn/pOKmpqaxdu5YPP/zwqZ+D9Peh1+txcXHhwYMHf2l7ZU1kd3dO5eZiVlhIS6CqhQXHnJyoW7cuw4cPx8LCgnXr1mFubk7btm1ZuHAhTZs2JTo6mq1bt3L79m06d+7Ma6+9xvvvv4+trS15eXm4u7s/2xOWXhqyuVh6IdatW8f169cB0Gg0Txy81KhRI9auXUtYWBhHjx4FSu64o6OjlW2KioowGo1/eBwLCwvGjRvH/fv3gZIfz8LCwqd5KtLfQGpqKmXLluXy5ct4eXkp+bbr1q1L7dq1labRR5Q1kVu3xv3h98UfGNG2Lfn5+cydO5c2bdpg/W/TVIqKikhJSeHGjRuEhIQQFhZGUVERBQUFODg4YGtrKwPsK0aOLpaeu9zcXNasWYOjoyM7d+4kNTUVIQS7d+8GwMnJib179wIlTcO2trY0b94cHx8frB5OcP/iiy+AkhrKxx9/TFhYmLJ/MzMzGjdurDxu1KgRr7/+OvD/RzyePn1apmJ8hZw9e5YaNWpgZmaGj49Pqall165dY9CgQcrj36+JbHzjDfLXrMEV+MjCgk5HjrB06VJ8fHyeeBwLCwsWLlxIUFCQcmPo7+/PggULnuXpSS8xGWSl527x4sU0bdqUzZs3AzB9+nSMRiNTp07FZDKVGgg1YsQIRowYQXh4OEuWLOHgwYMEBgYyffp0hBB88sknj+3f3Nxc+YGDklR0mZmZjBw58tmfnPRSejRA6I/6HX///O/XRD7q6Mj2ypUp7+bGjHPnmPfll7z55pvKto/yDhcXF3PmzBllnMDv9yf7Ol9tsrlYeqKEhASlGTY8PPyJwezfmUwmmjRp8h+X9Ro0aBBDhgxhwoQJFBcXK88feVhLsLCwwGAwKDmLc3Jy8PX1pUGDBrz22mscmTyZ72bPplpe3hNTN/77qh/p6encuXPnP5Zf+md61C/ftWtXTCYTZ86cKdVc3LVrV+V7mJuby/Lly+nevTsJCQl8+OGHLL9zh2OurhyPiaFv376l9l2tWjXWr19PXFwce/bsoVKlSgDcvHmTkJAQQkJCXpkl3aQ/8GJmDkkvu2rVqokvvvhCCCHElClTxLRp0/7je8aPHy/q1asn6tevL+7evfvY61evXhU9e/YUFhYWwsLCQpQrV064ubkJlUolAOHp6Snc3d1F48aNRVBQkLhx44aoXr26cHNzEy4uLqJx48bCRqsVriBcQViDqFC2rKhevbrIzs4WQgjRpUsXYWZmJgICAoSlpaWwsrISWq1WaDQaYWVlJXQ6nahevfrTvVjSS62goEBs2rRJCCHEhQsXRGhoaKnXr169KgIDA5XHj+as5uXlCRcXF7Fjx47/8zF//x2rWLFiqbnj0qtFji6WHpOUlISfnx/p6enY2toydepUzM3NmTRp0hO3F0IQERHBjz/+yOHDh4mPj2f06NEsXryYRo0aKdvp9XoiIyPR6/Xs3buX+fPnU6tWLUwmE0IIPD09CQwMZP78+aX2v2/fPj7++GOSkpKolZ1Ng4IC6gILgX0jRsDDNG4AXbt25fDhw0RHR3Po0CFlHc+cnBw+//xzrly5wurVq1m9ejVCiP+YLcpgMGBmZvYXOC+PAAAgAElEQVTE/tvU1FRu3bpFgwYN/vrFlV4oo9FIdna2klrwzyQmJtKoUSNSUlL+cE1USfpPZJCVHjN9+nTmzp1L5cqVgZIF0lUqFe7u7gghyMnJYdu2bVSrVo2rV68yfvx4UlNTCQ4Oply5ckDJQJO4uDg8PT15++23adasGS4uLsD/X+ZKr9fj5OSEVqvl0qVL3Lx5E1dXV37++WcyMjJYs2YNH3zwAebm5jg5OeHk5MS9lBQ0Dx7gIgQmoNDDg/TCQu7duwdAaGgop06dwt/fn4KCAvLy8sjMzMTS0hJPT09ycnKoWrUq3bp1Y+7cuWi1WqBksIubm5syEtTNzQ0oGY28YMECmjVr9th12rdvH5MmTVKW5SsuLsZoNJZKGyn9fS1atIiYmBhWrFjxoosi/Y3JICuVkpOTg4+PDzt37lQS/f9RTTYlJYXAwEDeffddPvnkE3bu3Knc8RuNRrp06cJ3333HnDlzWL16NQ8ePGDEiBEYDAbu3LmDSqVizZo1HFq+HIe0NFyDghj3ww94eXmRmprK66+/zvr16/Hz80On06HT6bh16xZaoxF3lYo8jYbzt28rmW9atmxJcHAwGo2G7OxsypQpQ0ZGBikpKdjb2+Pg4EB4eDj79u0rNYF//vz5fPvtt2zYsIGEhATi4uKYPn36Y9dmy5YtDBs27A/n6JpMJlxdXdm6detT+jSkp0kIwd27d5Wbvf+kffv2DBw4sNRApz+SnZ2Nra3t/1pE6R9ItoFIpaSmpvLRRx8pAfbPeHh4cOvWLe7cuUOjRo2YMWMGsbGxZGRkMGvWLBo2bMjSpUs5cOAADRo0oE2bNsTFxZGbm4utrS2nTp2ibmYmP+zcSWp0NLaLF+Ntbk5RURFWVlbMmzePCxcu4OvrS0pKijIQqtjCguh79ziblMSGDRswmUxcvHgRKAn8arUaDw8PmjVrRrly5dBqtTRp0oT333+fESNGsG/fPtq3b0+LFi0AWL16NcnJyQwYMIApU6Y8cTAVlATRDh06cPToUbp06cKwYcM4evQoR48eZf78+XTt2lUG2JfM9u3bleldBoOBgICAx7YRQpCdnU1CQgJbtmxh5MiRREVFcfToUVq1asWmTZsYMmRIqfdUrlyZvN8tSt6zZ09mz579bE9G+luSQVYqxc/Pjw8//JAZM2ZQs2ZN6taty7fffss333xD3bp1qVGjBgt/1wdqYWFBYmIimzZtYv78+dy+fZvMzEyGDh1KTEwM1tbWpfo909LSMBqN1K9fn86dO6M7dowOgB6wAJqVL4+vr6+yLFj9+vXJz8+nVq1a2NraYjKZSEtLo1WrVqSlpeHu7o7JZGLs2LF4enpy48YNKlasyO7du5k3bx7R0dFkZmZy5swZRo4ciV6vp7CwkH/9618kJSXh6OjImTNnMDMzIz8/nyuXLxO1ezd1fXxwdnbmp59+UspuMplQq9VkZ2czd+5catasqayXm5OTw9WrV9Hr9fy3jUNFRUV/+b15eXl4eHgoj8uVK0d2dvZ/ddx/GvFwSUUoybv7aG71vyc9yc/Pp7i4mJ07d9K+fXuGDh1KREQE/v7+xMbG4uvrq6wB+2hqziM6nU7pajAajcTExNC/f//nc4LS34qcJys90cSJE5X8p/9p4NO/zwP890Eij14vLCykX79+vPfee2RkZNC5c2f2xcfTwsyMCyYTM1QqUpOTaR0YyMSJE9m4cSPHjx/n/v37WFhYkJmZSUFBAWXKlOHBgwe88cYbXLp0CQ8PD/r168eCBQvw9fWlbt26xMbGIoQgPDycXr160aZNG/bu3UtxcTFBQUFUrVoVALVazeeff878+fPpWbMmZxMSqJKfz/TUVPo3bKj8kEJJn6uFhQVjxozBwsKC7du38+6772JmZkZWVhZ3794lNjaWLVu20LRpUzQaDWZmZuj1elQqFRqNRum3TUxMBODLL7/E0tKSIUOG0KlTJwoKCpTrd+vWLdRqNXv37sXb2xuTyYTRaESr1aLVaksFjN8/LigoQKPRPJYM38XFhcTERKKiopTBX/9ESUlJdOjQAQsLC7Kzs7l//z5169YF4O7du8r/i4qK2LJlCwEBAaxbt44TJ06wY8cOunbtSnh4OP7+/kRHR1O/fv0nfqcffa8PHz5MTk4Ob7zxhvK6i4sLW7ZseU5nLL3MZJCVnorRo0eTn5+Pl5eX8lxRURGZmZnKj/2OHTvw8fGhZcuWrFu3jurVq/Pppk3UbNcO7aFDjBg4kPNqNfPnzyc+Pp4bN24wdOhQLC0tMTc3R6fTce/ePVavXk1UVBQqlYpDhw7RuHFjvvnmG8LCwli+fDmTx40ju6CAyh4ejB07FpPJxJo1a4CSGuD169fZtm0bNjY2FBcXM3fuXNLS0li5fj0zhCAWID8fUlJKneODBw9ITk4mKysLCwsLJk2aRGhoKBMmTGD48OGcPXuWxYsXAyhBFB6/SRk4cCDz5s1j9OjR9OrVi+bNm9O9e3f27t1LXl4enTp1wtLSEjs7O/bu3cvGjRsxGAy0atWKnj17YmFhgRCCtLQ0JWDcvn1bSbag1+v57rvvqFevXqnyP6rVmZub/+lqNH935cuX5/z580BJEop9+/Yxb9489Ho9jRo1IiYmptT2Q4YMQa1Ws2nTJlxdXYmIiGDr1q18+umn5Obmltp2+/btzJw5k8TEREJDQwkNDeWnn37i7bffZu7cuQD88MMPfPvtt9y+fRtPT8/Hyjdw4EAiIiJK/a2MGjWK6tWr884775TatrCwkEqVKilzbXNzc7G2tiYgIIDDhw+j0+mUmrr0cvrn/qVJ/xWTyURxcfF/nNqi1+sxNzfHzMwMg8HAhAkTSEtLY9euXUqTZ4MGDahWrZqyek6PHj3o0qULx44dA0rSHe7ZswchBAEBAfRwdkZkZgIlS+elp6eTnp6uPM7IyKC4uBgzMzOaNGkCQGxsrBJYrK2tsdbpMMvLwxJwSk4m6WF5jUaj0oxYsWJFfH19qVmzJrt27SIlJYVu3brRzMmJLd99x7biYj4Hyvz2G6feew+tVkv16tXx8fGhS5cu9OvXT6kJDxs2DIPBgJ+fH2fPnv1L19jS0lJZ9Lts2bLExcVhbm5OixYtlNy3iYmJ1K5dmy5duuDp6UmzZs3wediEHR0dTVFRES4uLkrA8PHx4dChQ48NvtHr9Wg0mj/MOrR9+3a2b9/O0qVL/5FpJo8cOUJOTg5QsrjEo6xf586do3r16qjVapYuXcqMGTNwdXXFxsaGVStWYDQa+XjiRMzUaiZNmsTZs2cpV64carWar7/+mvHjx3P48GHCw8NJSEigXLly1KxZk23btnH+/HmCgoLYu3cvAwcOfKxMGo2GtWvXMm7cOOU5a2vrUq0mj+h0ulKfabdu3Zg/f76yiHzLli3ZsmWLzIf8EpNBVirl+PHjDB8+/Il/8Nu2bVP+X1RUxOrVq6lVqxZDhgwhMDAQGxsb3njjDT777DMA4uLiHtuHVqvFYDCg0+mU51QqFf3792fXrl1K8MrPz8fV1VXJNPXdd99x69Ytzp49S1BQkJLn+BFfX19CQkLIOnKENtevsxHYDywICWHUsWPK6iuOjo6ULVtWCeDVqlUjKSmJ/fv3EykEQqtlXLVqFHp4sPPyZdLS0hg8eDBpaWmcO3eO4OBgqlatys2bNwkODiY5ORlbW1s++OADMjIyuHDhAnq9nszMTH755ZdStZVHzMzMMDc3586dOyxZsoTy5cvTr18/0tPTOXToEI0aNaJWrVrExsbi5+fHpUuXiI2NZdWXXxLZrBmD9HqifvuNsmXLMm7cOJydnalatSrjx48nLi6O69evKxmu7Ozs8PLyQq1WKzcsUFLT7ty5MwUFBYwZM+avfDX+dr7++mtWr17NpUuXgP+/nNvJkyfp1q0bmzdvpkqVKowcOZKsrCzmzZvH5i++YBnQHRgFvP7113x+9izHjx/n2rVrXLp0id69eys3jr/88gvh4eHUr1+fDh06MG/ePH799VdUKhUxMTF89dVXODs7s3//fqVc3bp1I/PhzeQjv78JKioqQqvVYjQalRsko9HIgwcP6Ny5MydOnMBgMHDx4kWqVq1KXl4eJpNJzuV9WT3PzBeS9EdSU1OFvb29yMnJEUIIERkZKerUqSNmzpwpZs6cKdq0aSPefPNN0bt3bzFmzJhS783KyhJqtVr4+/uLe6tXi9ZmZsIGRJCZmfBydhaACAoKEkFBQcLS0lL4+voKe3t7sW7dOuHi4iK0Wq2oVKmS8PT0FBqNRtjZ2Ql7e3tRpkwZ0aZNG1GzZk1hZ2cnPOzthX7oUHFhwQJhYWEhVqxYIZo3by4aN24sli1bJoYNGyaEEOLNN98Ufn5+wt/fX/j7+wu1Wi1UKpXQarUCUP6Zm5srr5UpU0ao1WpRv3594evrK9RqtXB2dhYBAQHC0dFR+Li5iaYqlagJwgpERRcX8dlnn4nRo0eL8ePHi6VLlwohhGjdurVwd3dXro23t7fIz88XQgjh4eEhDAaDiIyMFAEBAeL48ePP46N97goLC8W4ceNE/fr1Ra1atZTnP/74Y9G1a1dRvXp1cf78eSGEECaTSaxatUoYjUZx8uRJEVG/vjgLIhDENyBOdOsmQkNDRbNmzZR9A8Lf318YDAbRpk0bsXbtWtG7d28BiOjo6MeyOxUVFQkhhFi/fr0IDQ0Vbdq0Ea1btxaNGzcWKSkpStl8fX1FcHCwCAoKErdv3xZz5swRNWrUEDqdTtSuXVt8+eWXon379qJChQoCEDqdTnTo0EG0bNlS+Yyll4+syUovBTc3N0JCQti0aZMySvPmzZts2rQJKOlzzMvLw8HBgbS0NI4dO4Zareb8+fMMHjxY6ZvstmwZdvXqkX/6NNd0Ogoejrg9c+YM1apVQ6PRYGdnx4MHD1i/fj09e/ZkzZo1dOvWDYPBwPbt27G0tKRWrVqcPHkSg8HA7NmzmTx0KLdu3OC1xYvRq1QUCcHQoUOpVq0aly5d4uTJk/j5+VGvXj1++OEHqlSpApRMG6lYsSJWVlbExsZiZWVFly5dCA4OJi8vj+LiYqKiovjll18ICgri1KlTnD59muDgYGxsbMjPz0er1WJtNHLhYQKOYsDSYODkyZO88cYbREVFMXXqVBYvXszVq1cpKCh4Yl/tnTt3iI2NBSAoKKhUNq5/kpycHNRqNdu3b6dt27YAXLp0iX379uHs7ExUVBQODg7KtjNmzGDx4sVoNBpEXh7LgFRglkpFxcuXMdrZkZOTQ3R0NCaTCWtra4qLiwkPD+fq1avUq1eP3bt34+LiQmRkJKdPn1YSlPTs2VMpQw+djrrlyuHdvTu3atfm3r17pZp5J06cWGqE8pgxYwgICGDUqFHK51avXj0mT56Mh4cHzZs3JzU1lblz51KmTJlnf2Gl/86LjvKS9MimTZuUvLL79u0T/fr1U14bP368sLKyEj4+PsLc3FxYW1uLRo0aCWtra6FWq5WaZ82aNUWXLl0EoOQ95mHNcceOHcLJyUloNBrRq1cvceDAAeHu7i40Go1Qq9XCzMxMqNVqYWdnJ5ycnIRarRY6nU6YmZkJO61WvAVCgIgH4WppKd5++20hhBCvv/66cHJyUsqq1+uF0WgUQgixbNky0alTJzF79mwxevRoUVRUJNzd3UWbNm3ElClTxKRJk5RzdnFxEXXr1lWO2bhxYxEQECAcHBxEJVdXUfHheTiD0JqbC3d3d3H//n3x8ccfixUrVogdO3aIKlWqCC8vL6UslStXFllZWUIIITw9PYUQJa0Ev7+2/1R3794VtWrVEl988YVwdXUVVlZWwt/fX4SGhj72r1GjRiIwMFC0bt1aOJmbCzOVSmjNzYW/v7/SChIYGCgsLCyESqUSXbt2FcOHDxc2NjaiSpUqwtLSUtjY2IiGDRuKzp07i127dolp06aJr776qqQw27eL4jJlhD+IWzqd+GboUNGtWzelrI8+w3/Xu3dv4e7uLvr06SO2bt0qGjRoINLS0sTrr78u7t+/L+bNmyfat28vcyO/xGRNVnppvP766wwdOpTr169TVFRU6rVH81FTUlKoXLky3bt35+233yY4OJiRI0fi5+fHvHnzCAgIYMqUKRQUFNCgQQM2bdqEnZ0dtx9mhmrZsiUHDx4kPDycGjVqYGlpiYeHB1lZWWRlZSm1FA8PD9RqNf369WP//v3YG42cOX+e/oDJzAy9mRm7d+/G1dUVIQT379/H1dUVKBndOnnyZBwcHJgwYQIHDhygcuXKNGjQgOTkZLp160ZGRgY3btxQ0lBCyTq6EyZMID4+noiICNq3b8/8+fPJysrCoWxZ1ECooyMt27XjaEZGSbkeDqD68MMPlUxZ5cqVU/pq/f39GTRoEDExMdy/f59p06YpC9g/cuvWLcqXL//MPtcXRQiBEIJhw4YpNdEOHTooo4lDQ0NZtmwZly5dYuvWrWzevJnQ0FBSU1MpTkpiwoQJnDlzhvT0dJo3b86+ffvo378/eXl5DBs2jPr16xMVFUVBQQHfffcdK1euZNSoUYSFhVGnTh1sbGz+f1/rvn2YFRTQBvipsJCrJ07Qa/JkEhISqFevHv7+/gB8+umndO/endmzZ3Px4kVu3ryJra0tvr6+VK9encOHDxMZGUmFChWwt7fngw8+kEs4vuxecJCXpFLee+89MXnyZCGEEG+99ZYIDAwUQUFBwsXFRajVauHh4SGsrKyUfxYWFuLWrVtixIgRolu3bmLGjBlCCCHCwsKUWoerq6tQq9XC19dXWFhYiICAABEYGCgqV64s9u7dK1asWCGsra1FxYoVRWBgoNKXp9FohLW1tfj666/FwoEDhRZETOPGInbePBEbGysOHTokYmNjxcmTJ4WTk5OIjY0Vzs7OoqioSDg4OAi1Wi28vLxEpUqVhLe3t7CwsFBq1R4eHkKlUgkzMzMBCCcnJ6HVaoWlpaVo3LixsnKQq6urKKPVigog6oOwBeFsYyPMzc2FlZWVEKKkFmRvby969+4thBCiZs2aomvXrmLYsGEltXA7O2FlZSXMzc1FQECA8PPzE2XLlhVdu3YVXbp0EQ4ODmLz5s0v5gN/hpKSkoS/v78QQoiZM2eKAQMGCGtra2FjYyO0Wq3Q6XSidevWokKFCmLFihUiNDRU9O/fX7Rt21ao1WpRvnx54e3tLZycnIROpxNarVb4+fmJoKAgERMTI44cOSJ0Op2YPXu2GDFihGjTpo1ITEwUTZo0EQ0bNhQjRowQCxYsKCnM9u1CWFqKvSA+BlGtbFlx9+5dkZiYWGpVoBUrVoiPP/5YCCHERx99JH7++WflHAYOHCiCgoKEubm5CAoKElWrVhX29vaiVq1a4ubNm8/12kp/nRyOJr1UBgwYwPfff4/JZMLR0RFXV1fc3NxQq9VoNBpSUlLw9PRURmDq1GoCKlfm3MGDSlKAadOmcfDgQQwGA97e3uTk5GAymbh69SouGg0VdDrc3d2pWLEiNWvWZN68edja2jJ+/HicnZ3JyMjA19cXf39/zM3Nub57N1VXrsQJCIqLo11EBEOGDKFly5a8/fbbjBs3jnv37lGlShW0Wi3u7u4EBgZy5coVkpKS6Nu3L3Xq1MHW1padO3fSv39/rKyssLa2xmQy4eLiwoIFC2jTpg0VKlQgLi5OSVqRm5tLoV5PWUrSs+UCWQ/7ph/1vT7KC71x40Z0Oh0XL16kWrVqODo6MnXqVO7evUtISAju7u6EhYXx3nvvUaVKFS5dukR8fDzBwcF07NjxxX7wz4CXlxcJCQnK46ZNm5KTk0N2djZLlixhypQp7N27lxs3bpT0m967R4tt2+jo5ka1atXo0KEDb775JtWrV8fNzY1GjRrRv39/Jk2aRKVKlQgJCcHLy4tRo0YRFBSkHOfOnTscP35c6Ze/f/8+dOpE4fff4xoWRsWhQ7mcmUm9evXIz8//w/JHREQo/blQMsJ+4sSJ1KpViz179tC9e3cWLFhAXFzcP7Il4p9CNhdLL5XAwEDs7e05dOhQqfSNTZs25cyZM1haWlKmTBnKlClDRQcHyiQmckEIkuLjcbSxYePGjUBJwnY/Pz9SU1PRaDQU5OfjA8zPzcUvJoY3bW3JdXambt26pKamYmZmxvDhw5XjXb9+HbVaTXFxMad/+olEIXAAluXnY24yceXKFfr370/Pnj0pKiri6NGjaLVaoqKiaN68OWXLlqVChQqkpqayePFiDAYDBw4cIDAwkI4dO7JkyRJ++uknHB0dWbduHStXrsRoNOLo6IgQgoSEBCwsLLCyssJQVERhcTE6IbAEbO3tMbOwwNrampiYGBISEmjYsCFr1qzhww8/xMLCgrFjxzJnzhxu375NnTp1+O2336hRowbLli1Dq9Xi4uKiTENp167dE6ds/ROtXbuWxYsXk5mZiV6vZ//+/Xh7exMRHAyXLtHHZGLdmjXwMF1ncXExycnJpKSkkJyczOnTp1Gr1axZswZ3d3d8fHzQarX4+/tz7do1jh49SpUqVVCpVJiZmXH//n3GjBlDWFgYPoGBdB47ll69enHo0CFmzpzJ8OHDlUXkAe7du0evXr0AnviZtGvXDoPBQFBQEJmZmYSHh3Pp0iWqVav2XK+j9NfJmqz00unfv3+pVXIeBZ1GjRrh7e3N8uXLcXFxQX/vHvuFIBD4ADCaTAQFBVFYWKj0h2VnZ5OTk4OVuTm3gd5AEBCfk8O//vUvrK2tadasGf7+/kq/mEqlonz58kq2niNCsBm4AaxRqXC2s8NgMLBx40ZGjRrFu+++q+RQ9vb2JjIyUhnR6+7uTpMmTRg5ciSBgYEAREVF8cknnzB69Gi8vLxwcHCgUaNGpKenc/ToUaKjo9HpdDRs2JD169djbWvLqQ8+YNHDY9/Ly+Pu3bvodDrGjRvH9u3badKkCTt27KCoqEjpr4OSDEHe3t4sW7aMrl27cuPGDa5cuUKPHj2IjIxk8ODBpebP/tO99dZbHD58mDFjxjBgwADq1KnD5MmT0e/fDw/7/Qv0eh7cu8eFCxfYvHkzJpOJgIAA3N3d8fPzo1atWkyePJnTp0/TtWtXAGWFqYiICMaOHQtAs2bN+Omnn0hKSiIkJITKlStz48YNZsyYQZMmTdi+fTu2trbKKlIxMTFMmTKl1HgEg8GgPP7qq69o1aoVq1at4vPPP+fu3bvUrl2biRMnkpGR8ZyvpPRXyaXupJfO3bt38fX15ebNm9jZ2bF69WoWLVpE586d+fHHH5k8eTJ9+/bFymikismESghW6XTUVasZM2ECEyZMwMzMDKPRiJWVFWXKlKGhtzcHYmOpCSQAdatXR+fpSVZWFra2tlhYWLBv3z40Gg35+flYW1uTm5uLhYUFRqORG0uWkLV/Px9du0ZKcTFlypSh8OE6tnfu3KGwsBAzMzM++ugjjh07xu3bt5XkAI8GXbm7u3P//n0yMzMpX748Z8+e5cCBA0yfPp3MzExSU1Px9/fH0tKSX3/9Fb1ej7OzM0HlyrE7Ph5RUMCPGg37g4N5ffhwkpOTuXz5Mvb29lSpUgVbW1v69evH3r17ady4MZMmTSIpKYmqVasSHh5O+fLlmThxIh4eHqxatYqNGzfy/fffk5aWRnh4+Av9zJ+1WbNm4ebmxltvvYVWq1XOu2bNmqhUKrYNH078jRscAb7QaDDv14/3ly7Fy8uL5ORk6tSpw7Zt27h79y5xcXEMGjToicf5vw4i0+v1TJgwgZ07d7Jnzx68vb3/cNvCwkKl20T6+5DNxdJLp2zZsrz22mts3LiRkJAQxo0bx9atW/nll1+AkpG0VlZWLF26lDfMzWHfPr43N6daTAxZWVnUqFGjpJnVYECv1+Pr60tcSgqo1WSUKUPkpElkVq+uBJlFixaxfPlyxo0bx6FDh4iOjgbgtddew8bGht27d+M5cCAufftS3Lkz382YQe3atUuVWa/X4+DggMlkIjs7mzt37tCsWTNatmzJ9OnTsbGxQaPRULNmTb799lu8vb0xGo0EBwdjbW3N/v37qVy5MgUFBXz2/9g776iozq2NP3OmMQxlKIL0XhVBwQJoxN67nyXRKEZsRGNPTIxdMRqjWGIs0cQejLErikZJjJLYQWMXEEVEUFApU5/vD+VcuZqbm9wkN7mZ31pnycx5T5tzlvvs/e797A8+QPfu3fHgwQN88sknWJWUBKeKCgBAmV4PdUYGdp09C51OhylTpuDRo0dYtmwZrl+/jqCgILi4uECr1cLe3h4fffQRlEolpk2bBolEgg0bNjydm37W5ahly5Z/6L39b1HlSwwaNAhFRUVi1m9qaipOnjyJzp07Q6JWA3FxuHjlCvo9C9kCTxtDTJo0CR06dICdnZ2oUfwyfuncqEKhwIIFC+Dn54cmTZpg9+7dqFev3kvHPq+SZuYvxH8z68rM/z56vZ46ne5nxz1fW0qSO3fuZFhYGD08PPjxxx8zPz+fsbGxolJSYGAgY2Nj6e7uTgcHB6pUKrq4uHDq1KkMDQ3lnj176O7uTjs7O+7atYu+vr4UBIGvvvoqZ86cyfnz57Ndu3Zs164dR44cSVc7OzoplVRIJFSr1RQEgQqFguHh4QTA8PBwWllZUS6X09fXl7GxsS8sSqVSPP979+5x48aNjI6OplKppIODA0NDQ7lz504+evSI5NNs0aSkpGp1stHR0YyOjqa1tTVjY2NZu3ZtjuvalZOlUo4DOF4m49HZsxkUFMQ6deqIdbLJycls2rQp/f39WVRUxD59+rBv375UqVTs3Lkzt2zZwsLCQq5du5ZJSUkkn6oXrVmzRvz8v8z06dNfqEO9fv06fXx8mJSUxLt37zImJoaVlZX09vbmkydPWFFRQWtra4aHhzMlJYWpqan09vZm8+bNOWvWLN6/f/8/Pq9ly5Zx8+bNJMlt27axRhNiX0QAACAASURBVI0a7NWrF2/fvv3S8fHx8czLy6v23ahRo7hixYoXxlZUVLBmzZri5yo1tVq1arGoqIhPnjz5j8/fzM9j9mTN/K58/vnnWLBggZjEkZOTg5o1a0Kr1aKiogI1a9YE8NRbWLJkCeLi4gA89SIvX76MMWPGYPjw4Zg9ezaMRiMUCgVsbW2hUqnw+PFjyOVyzJ49G0eOHEH9+vWxdetWODk5IT4+Hu7u7iguLsb48eNRWVkJe3t7fPnll6IQfpVqz/TISMz55BPc0utRIJej47OON0lJSXB3d4efnx/Ky8tBEqtXr8brr7/+s9ft5OQET09PXL9+HT/88APKy8vRrVs3TJgwAfn5+YiMjISbmxtu3bolbuPo6Ij09HRotVp07NgRX375Jd5++20onJ3xuLISN48exa4vvgA6d0bIyZOoqKiARqMBSVhaWuLx48cYNmwYjEYjPv/8c8jlcnh4eCA6OhofffQRkpOTUVRUBJ1Ohz179sBoNKJ9+/Z/i/CjwWDA3Llzxbn+srIyZGZmwsvLC6mpqdi1axeMRiPy8/PRvn17qNVq5Ofnw8PDA4sXL8Yrr7wCALhy5Qr27NmD7777Dg4ODtWOMW/ePMybNw9PnjwRu0alpKTg9OnT+Oijj2Bvb4+NGzeKUZDVq1dj7dq1cHNzw4ULF/DWW29h27ZtaNeuHWxsbLBq1aoXrsPcXOAvyH/bypv5e9GjRw9mZWVx69atYj3g85SUlFAqlVKtVlOhUFCpVNLW1pY2NjaUSCS0trYWx168eJHt27fnK6+8wpYtW/K1115jVFQUlyxZwrt375IkJ02axNTUVLZv354nTpyotsyZM4djx44lExNJgPUBRgC0VSgYHBzM0NBQbt68WdS/HTp0KI8cOfKz16jX6/nhhx+yRo0aPHTokPh9UlKSqI3s6upKR0dHSqVSUYfWzs6OQ4YMYX5+Pu3t7RkQEMCaNWuyRYsW7NevHy0tLUmSb7zxBuVyOffs2UOSTExMpIeHB2UyGcPDw1m3bl36+/szJCSENjY2VCgUjI6OZqdOnV7wXJ/3bP+Xefz4sajvm5GRQWdnZ9GD/Ff8GiWlAQMGcPny5STJS5cuMSwsjGVlZdy8eTObNWsmjmvRogW/+OIL7tu3jw0bNuSgQYNYp04dBgUFUS6X08XFhS1atKi27wMHDrxw3s+rRVVWVtJkMonRoyqN5fv373PZsmX89NNPWadOHWZkZDA+Pp7Xrl2j0Wj8xddo5t/HnF1s5k+Fra0tKioq8OTJE5w+fRp91Wrc7tYNr1pbIykpCfnP9XgNDQ3F7t27IZFIkJaWhg0bNmDw4MGYO3cuhg0bhn79+uGTTz7Bhx9+iIKCAhw9elRcDh8+jKysrKdzc61bw6hU4iCAPnI5WkZGYvbs2Vi3bh0aNGjw0k46P4VOp0O9evWwf/9+ZGRkoEWLFuK6d955B4WFhWjbti3UajW++uorBAUF4fvvv0dMTAwUCgVWr14NHx8fmEwmlJaW4tGjRzh+/DgM167BVF4ON3t70Tvq0KEDACAqKgplZWUwGAzIzc1FZWUlzp8/j5iYGPTq1QsNGjTA9OnTsWvXLmg0GrF0Z+vWrZg5cyZ8fHx+m5v3J8bKygoqlQqHDx9Gp06dsGbNGvTp0+dnt/upFoH/Lnfu3MGIESNgaWmJiIgI3Lx5U1wnk8lgMpmwc+dOaDQavPPOOzh37hwuX76MGzduwN7eHqGhoTDt2IGUNm0QFxaGjz76CGvXrkVsbKzYYxYA5syZg8aNG4vfL168GHXq1EFubi7q16+PTZs2Ye/evZgxYwYyMzMRFxeHwsJCDB8+/AV1NTO/Mf9tK2/mf59169bRycmJkZGR1Gg0rFWrFn19feni4sLIyEg6ODhw7969L264cyfLJRISoFYuf6qa80/odDrWr1+fly5d4r1797h48WJaWVkxMDCQtWrVoiAIdHV1pSAIlMlkVKlUVKlUtLCwoIuLi9jRx7RjB1solYzw9GRAQABTUlIYHh7Ozz//nO+++y7Jf9+Treqs8lNERkZy57Nrqaio4IEDB+jl5cWKigrq9XoeO3aM77//Phs0aECpVMohwcF8TyLhyGeKTyWbNr2wz0WLFtHGxoYJCQncuHEjlyxZwmbNmvHBgwcsLi5mTEwMN27cyJKSErFLT2lpKV1cXERt478CJpNJ7GrzzwwaNIhbtmyp9t3OnTvFudOvvvqKNWrU4DfffPO7nuPznmwVJpOJM2bMqKZX3KZNG16/fp0rVqwQ1aKWLVvGAQMGcMCAAUxJSeE7oaGslEpJgDcsLMidO5mbm8szZ86I+/kp3ePU1FRRLYokjx8/zpYtWzI6Oprvvvsu4+Pj+eDBg9/+BzBTDbMna+Z3R6lUom/fvjh16hRCQkLw7bff4oMPPsCgQYNw6tQpdOzY8eViCAcPQvUsK1Sh1wMHD74wpLKyEvn5+Zg0aRLmzZuHkSNHok2bNrCzs4OjoyNUKhWmTp2KJk2a4O2330Z5eTnKy8tRUVGBjz/+WPRUcsPDke/ri8dyOUgiNDQUycnJ2LZtG5o1a1btmDKZDBERES9drKyskJub+8J5GgwGVDzLEO7WrZvYX9TCwgL79u1DQkICLCwsIJPJsG3bNkilUiQlJSE6OhrjvbwgI+ELYBCAkePHo3Xr1mK/3nv37mHcuHEICwtDZWUlRowYgT179sDd3R2HDh3C3r17ERQUhK1bt+Ls2bMoLy/H6tWrYWNjA5VKJc7JVlRUwGAw/Kp7/Edx584dBAYGIjg4GC4uLmJtM/D0Ofvn52jv3r1o2LAhkpKS0KtXL9jb22PMmDGIiopCVFQUQkNDxWbrvycjR45EUlKSOJe6ZMkSnDhxAt26dcPKlStx4sQJAE/7Of/f//0f/P39kZubi9729lAajQCA9pWVyNu2Dfv27cPs2bN/9pjr16/Ho0eP0L9/f+zYsQNjxozBhg0b4OjoiAkTJqBOnTro16+fmHlt5vfBbGTN/O5U1YtWhTLt7OzERtT/ktatAUtLAECFIKDyWfLJ8xQVFaFRo0YYN24clEql+P1rr72GYcOGQSqVQq/Xw2g04v79++L6lJQUvPHGG4iMjERxcTFcXV1x+vRplGZn42FeHmYOG4a8vDxcvXpVNLKVlZXQarWwsLDAuXPnqi379+/H66+/jqioqJcmEg0dOhSffPIJAKBNmzbYs2ePuG7Pnj147bXXxM9VcotvvPEGkpKSEDBiBCh7mqM4XaHAN0+e4PDhw0hISMDy5cvRrVs3CIIgtleLjIzEunXrUFBQAH9/f6xevRqbNm3C0aNH0a1bNzx69AhvvfUW7OzskJOTA1dXV2g0GjRs2FBsqfZnxd3dHTk5OTh//jy8vLyQnJwsrhME4YXw7ooVK+Dl5YUlS5YgKysLly9fxqlTp8TFZDIhMzMTXbt2/V3Pe8mSJVi9ejX69OkDk8mE4cOHo27duvj000+xbds2se2gyWSCTCZDeno6pk6din16PYzPnus2Mhn2qdW4du0aXn31VVy+fBnW1tZITU3F0qVL4ePjg4kTJwLATzYXOHnyZLXmAjt37vxdr9uM2cia+YMoKSlB165dMXXqVACAn58f1q9fDw8PDzx61vP1BTp3BjZvBhMTsaJpU/Rctw56vb7akJMnT8Lb2xt6vV40brm5uZg8eTKmTJmCsrIyLF++HNnZ2fj0009hZ2cHjUYDmUyGnJwc9OnTBzNmzEDt2rXRKjISapMJVlotth87hsShQ2E0GtGiRQs0adIEpaWliIuLg0z2YlK+UqnEhAkToNfrIZVKodVqUVZWJq7v0KEDjM88ksjISEycOBEVFRU4efIk3N3d4e3tLY4tKyvDxx9/jAEDBqBx48ZYcO0a7jZvjkwbG1x9+22cuHwZDg4OyMvLw549e3DhwgUIggCZTIaYmBh4eHjAysoKZ86cQXJyMgYNGoT3338fN27cQHZ2NmxtbbFs2TI8fPgQPj4+yMnJQUFBATIzM1G/fv3/5Db/YUyaNAmtW7dG27ZtsXnzZtETBJ6+YBUXF4M7d+L7Bg0QePkyTpw4IWoJ/5GsWLECO3fuhEQiQffu3ZGTk4OioiLIZDI8fPgQubm5mD9/PgDg7NmzOHLkCHr37g2DwYAJEybg3YwMSFNSgMREdJg8GQXOzjh37hyaNm0KCwsLREZGii8MU6dOFT359evX47333gMATJkyBXPnzkVsbCy6deuGEydOIDQ0FHZ2doiKikJeXt4f/rv8nTAbWTN/CBqNBhs2bECXLl0AABEREbhz5w7y8vLEMgOTyQStVls9fNW5MyRLlyLxwAGYTCYkJCSgrKxMbH1XJWGo1Wohk8nw+uuvo7CwELa2tvD19YVcLoeVlRXeeustTJw4EfPnz4eXlxdsbGxgbW0Nkti1axc2btyIcd7eaAKgFgBvAO+Fh+P+/fsYMWIERo8ejZSUlGresiAIaNy4MRo3bozOnTsjOjoaFy5cQHx8PEJCQuDo6Ijw8HBERETgnXfewfvvvw+VSgVLS0uMGTMGXl5e6Ny5M7799luxrMLGxgaPHj2Cra0tpk2bhqVLl2LZsmV4YG2NgthYrCwoQIcOHfDgwQM8fvwY586dg06ng1arhVarxfDhw7Fx40axvKSvtzdOL1iAVcnJCAwMhJOTE8rKyjBmzBh4e3vjwYMHCAoKQmhoKG7cuPEHPAm/DUVFRahVqxYuX76M1atXV0sC0uv12DhuHLJ79MBbJ0+ie3ExvM6fx+zZs+Hp6YmIiIg/LNlLIpFgxYoVMBgMOHLkCJydnVGjRg2QRHl5Odq3bw+j0YiMjAyMHDkSJpMJOTk56NGjBxwdHf/RXODDD+HctSsCAgJw5swZDB8+/IUXzucxNxf482CukzXzu0MSmzdvxrFjx166PicnB6+99hoyMjLQqlUryGSyn8zqfPLkCTZt2oRr167BwsICaWlpeP/99/H222+jfv36WLduHQYNGoT79+9j/vz5YubtmjVrUFJSAltbWzRq1AgAoNVqcfToUfj7+8Pb2xsn3NxQKgj43mRCvCDAJjwcnmVlWLduHVq2bCka9ipkMlm1a9q0aROmTp2KtWvXirWQBQUFsLe3h0QiQUVFBWQyGbZs2YI+ffrA8lkovIply5YhOzsbKpUKhYWF6NatG0pKStCmTRtkZWUhMTERp6ZMwa7YWHicPYuuXbvi888/h0wmg1qtRp06daBUKpGVlQW9Xo8GZWWImzULXxqN8JBI4BsXh6hu3eDs7IyMjAxkZmaiV69eUCgUmDVr1n88N2cwGGAymX5VswGS6Ny5M9asWYMaNWr8y7Hp6enYsWMHDh06hAULFuDYsWOYOHEibt68ieXLl+P06dPIKynBKKMRawDM1ukQs2cPFAEBmDJlCgYPHozAwMBfeZW/jPj4eBw/fhyurq6wt7fHpk2bIJFIcOTIEUilUoSEhECj0UClUmH27NnYvn07NBrNi80F/P3RpUsXvPrqq0hLS0NkZCSys7PNzQX+ApiNrJnfHa1Wi759+2LRokUvXT9w4EBotVq0atWqWoj1ZRQXF6Nx48b46quv4OTkhPHjx8PFxQWhoaGIj4/HxIkTcf36dXh5eaFv375o1aoVvv76a2zatAmDBg3CtWvXEBISAoPBgHbt2iEnJwfvvvsu2rVrBysrK9y0t0dJcTE2yeUIuHQJer0eqampePjwIT7//HOkpaWJ51I111zFvXv3oNPpqn3XsWNHzJw5E+3atYNcLsfBgwcxY8YM8T/D50lJScGHH36I7du3w2g04ujRo6L28MWLF6FKS0O3mzex4vp12ABQFxUhJSUFDx48gNFoxL59+zB27FicPHkSq1atQoeDB6H8/HM0BHCIxEi5HNuOHYOjoyOUSiXu3LkjhtgFQRBFOn4tX375Jd5//31YWlq+8JJ0/vx5FBYWvmBAP/74Y9y8eRP379/H2bNn8cEHH4jrJBKJGEqtEokgiatXr0Kn06FGjRp4++23odPpRFENa2trLFmyBBNGjgQqKhBaXo4PVSpYdewIydWr4r7/+d79ljzf3EIul1f7fP36dYwcORJr1qxB7dq1sWHDBhQWFuLKlSuYPXs21qxZA+Bpc4GEhARYWlqicePGUKvVyMnJqXackpISREZGinKjn332GS5cuCCu/+fmAikpKbC1tcX8+fPRuXNnHD58GO+++y5Wr14tlnWZ+R34r+U1m/nboNfrf7Ls4pcglUpZUlLC3Nxcenh4cMOGDdXWh4aGMicnh1u3buVbb73FVq1aMTg4mF5eXnRzc2N6ejoBsEGDBmzQoAHj4+OZkJAgyjleuHCBTk5OHDFiBAe6uPBihw7c+e67DAwM5NWrV8Xj2Nra0mAw0NramkePHmWdOnUYGRlJDw8PKhQKhoSEMCIigtOnT+esWbM4cuRIkmSNGjU4YsQIvv7662KD9SrS0tJEecXJkydTo9Fw9OjRHD9+PH19fZ8KKSQmMh9gLYDdALZ81hDeycmJgiAwJSWFzs7OlMvldHBwYISPD7crFJwDsLFEwteaNqWFhQXVajUB0NHRURTdcHJyYnFxsXg+u3bt4saNG8XPs2fP5nfffffS+5KXl8djx46Jwg3JycnVJAcfP35MGxubF7bLz89nQEAADx06xEuXLr2weHl5VRt/7949rlu3jh07dqQgCHRzc2OrVq3o7OzMzMxMJiYmcvv27STJgIAAXl2+nExMZOPQUB48eJDz5s2jh4cHw8PDxdKW50tcfi9MJhO//vprdurUiY6Ojpw0adJLZRN/aeN1nU5X7Z79KyoqKv4teVMzvz1mI2vmL4OlpSUrKipI/sMgpqamiuvr1atHkkxJSaFarRbrcZ2dnalQKBgaGkpLS0tKJBImJiaK25WWljIpKYmBgYFs3bo1p/bpw8GCwM0AS5RKrh8zht7e3hw6dChv3rxJuVzO2rVrUyaTsU6dOgwLC2N4eDhdXV0pl8t56tQp6vV6VlZW8uTJk/Tx8SFJurm50c/Pj+vXr+eAAQPE49+/f59ubm708fFhZGQka9asSalUyrp161KtVot/R/r50QvgOIC9pVK+EhrKvXv3cv78+QTAVatWUSKRMCwsjDqdjr6+vsxMTuYUX1929Pfn/fv3mZyczIYNG9LGxobvvfceR48eTR8fH/bu3ZtFRUXctGkTk5OT+d5777Fp06ZcsmQJFy5cSBsbGy5YsICLFi2q9puT5MiRI9m2bVvRyFpZWVV7qbp06RIjIiJeuJ/FxcUEwLp16zI2NpYxMTGMjo4WtaBtbW2Znp7OSZMmsV69elQoFPT09GR0dDT9/PzYrFkzent7s3HjxhwwYACDg4PZrFkz6nQ69u3bl7t372ZWVhb9/f1pNBo5a9Ysrlq1iiQZExND8vc1spWVlVy7di3Dw8MZHBzMTz75hGVlZb/b8cz8OTGHi838ZXg+BFmrVi188cUX6NmzJ45NnIjA3FxISkvFhBIPDw9s2bIFly9fxuTJk+Hi4gJLS0vUr18fJpMJ33zzDbRabbVEppYtW2LVqlWIiYiA0mSCAsBHWi1Ktm3DD6dOYd++fXB1dYWnpydSUlKQkJBQbU523rx52L59O1QqFWQyGWQyGcLCwvD222/DYDBAp9PB399f1GsGgLVr12Ls2LEYOXIkZsyYgQcPHmDevHlYuXIlzpw5g+LiYri7u6O8vBwHv/4aHmfP4ovBg/GDvT2+u3wZD995B506dQLwNCTYokULnDp1Ch9//DH69u2LhE2bUCsuDoc2bUKDBg1w7949ODs7o6ysDJ9//jkMBgNq1qyJiIgItG7dGnK5HHPmzIFCoUDbtm3F3r179+4F8HTe1cnJSTz/y5cvY+XKlXBwcED9+vXF67S0tMSiRYvw5ptvIi8vT+zNKwgCYmJixO2r5h8BwFhUhMqiIszq2ROfFhbi8ePHGDt2LNq2bYtFixahV69e2LlzJ3Q6HWbOnInmzZujWbNmMJlMEAQB06dPF+c6N27cCIlEgj59+mD48OEQBAFNmzaFra0tAOC77777rR7LFygsLMTy5cuxfPlyhIeHY+7cuWjduvXvGqI28+fF3E/WzF8GKysruLm5icZWq9ViclwcPD/7DG8DuAIg2M8PfYYOxZkzZ+Dg4IDdu3eL/VJTU1OhUqlw9OhRjBo1CpmZmdi0aRNcXV0BAF26dIFarYampARCWhpSDQbcAdDA2RnlHh5Ys2YNwsLCAAAbNmzAjh07UF5ejn379qGsrAw+Pj4YMWIE2rdvj0GDBkEmkyE7OxtarRZ6vR4mkwlOTk5Qq9UoKCgAADg7O8Pa2hqHDh2Ck5MTunXrhoMHD8LOzg59+/aFo6Mjvv32WwDAgwcPsH79enz99ddY/M47CLazwzWTCbkPH+Lx48fYu3cv8vPzkZiYCJLw9PRESEgImjVrhmnTpqGyshIuLi6oqKhAYWEhPv30U4wePRqVlZUAniZybdy4EV988QWKioogCAKuX78OCwsLuLu7Q6/Xw9fXVxSuf/DgAV555RW0atUK6enp2LlzJwoLC9GoUSNYWVnBy8sLwNO5w9LSUnh5eSErK0ssZQKA8PBwlJSUwE2lgvHKFQCAFMBjV1fkP+vXW0XLli1x6NAhWFpawmQyISIiQmz/9s0338DDwwPdu3fH/PnzIZPJcOvWLdSuXRvXr1+v9mIAPM1Ofuedd3Do0KEX5jp/LVlZWVi0aBG++uor9OzZE6NHj0atWrV+k32b+eti9mTN/KU4f/589b6ab74JAGgFIArAqbZt8XZREb7//nsEBgaitLQUw4YNQ5cuXbBv3z7RQC9evBhTp05FZGQkzpw5g8zMTJw6dQpOTk5ISkrCLgAfAvj8wQNk3r8POxLNmjVD9+7dcfz4cRQUFECtVuPJkydo3LgxSKK0tBRr1qxBamoqAODQoUOwt7eHIAjo3bs30tPTcffuXTRv3lxMVhozZgwCAwMhCAJ+/PFHXLlyBXXr1kWvXr2Qk5ODhw8fomfPnhg4cCDatm0LkuhnY4OdDx6g4YMH6KdQYLRGgyOnTuHIkSPYsWOHWFJ0+fJlCIKAmzdvonv37jh06BCuXbuGXbt2YdCgQRg4cCBu3LiBOXPmoEWLFjh48CB0Oh06deokel3Tpk2Du7s7Bg8eDOCpBzhlyhT4+PjAw8MDvXr1QnR0NHJyctC+fXv4+fmhdevWGDp0KGbNmiUKZERFRcHT0xNZWVnirTOZTBg4cCBu3bqF6E2bYAKwEsDXAAxdumBOzZq4cOECDh48iLFjx4oqWb6+vi8k0fXq1QvZ2dnVvEVPT0+xd+4/4+joiBYtWmDGjBm/7kF87hr279+PhQsX4scff8SIESNw9erVn82QNvP3wWxkzfy1ad0aXLsWkvJy4JnY/wedO+PevXto2LAhOnXqhJycHIwfPx5nz57FnDlzxE2nT5+OxMREODo6wtHREY0aNULXrl1RUFCAnefPY3hqKrw+/RSd6tSBi4sLvLy8MH78eLEZ/EcffYRRo0aJpTkKhUKsOdRoNGjXrh0+++wzBAQEQCKRgCRMJhMmTpyILVu24OzZsxg1ahQAoLy8HMOGDcO0adNQp04dfPnll6hXrx4uX75c7XKlUilU336LPQDqAVig08HWaMShQ4cQFxeH3bt3Q6fT4csvvwTw1EhGR0dDqVQiOjoau3fvRocOHcTyoaioKAQHB6N9+/YAnr587Ny5EyRFwQ6lUokNGzYgOzsbNWvWxJ07d2Bvb48jR45Ao9Fg8+bNOHfuHNQmE77euxc6ACdOnIBWq0V0dDRkMhmysrKQlZUFk8mE4OBgGAwG3L17F3q9Hnq9HkskErgBKAMwSiZD5rffolnPnrC0tMSECRMQHx8POzs7GI1GDB8+/IXfZcaMGWLY+HmcnZ1/8tHp27fvL3zY/kFVuD05ORlqtRpjxoxB7969f1X5kpn/bcxG1sxfm86dIdm8GVeWLkXeN98gw8kJT555PE2aNMGlS5dQXFyMIUOGYPfu3VCr1dU2d3JywunTpzFs2DBcv34dmZmZCAwMxLvvvouhQ4fi3LlzsLOzg4+PD7RaLQ4fPowtW7Zg4sSJuHz5Mm7fvo1hw4ahQ4cOL/1POzs7G40aNRI7/uzevRsTJ05EYWEhVCoVrK2tERYWBgsLCzRs2BDOzs7o2rUrlEol0tPTRWOSnp6OvLy8p3OKrVujYvlyCCYTJEolWjZpgvHjxwN4Gpo9c+YMAGD8+PEgKc47jxw5EkuXLsXt27dRWFiIiIgIPH78GPn5+Zg/fz5WrVqFiooKGI1GGAwGrFmzBhs3bkRqaiqMRiMKCwthbW0NGxsb3Lx5E46OjpBKpRAEAV4ODsguKICAp+Fe6nTQ6XQ4deoUnJ2dodfroVAoIJVKYWVlBZLIzs6GVCqFq6srZs2aBcWFC7iUno7Zp0/DvaQEhrQ0pKWlITo6Wpx3vnjxIrRaLerWrftCmdC0adNQVFT0mz1aLyMvLw9Lly7Fp59+iiZNmmDVqlVo0qTJf9ytx8z/MP+tjCszZn4parVazC5+noyMDDZr1owSiYQhISH89ttvOWDAAGZlZfHatWs8ffo0SXL58uX88ccfX7pvk8lEFxcXrl+/XsySvXv3LmUyGRs1alRt7OjRoxkcHEwrKysx4zXIzY3hDg70rVmToaGhXLhwIcmn5UsHDhwgAEqlUur1eqalpTEgIID79u3j2LFjXyhFWrx4Mfv27UvyHx1Wli5dyk2bNrGoqIgkOcbPj3Xs7Hhk1ix269aN06dPJ/m0w08V48aNq9Y1qKysjA4ODpw0aRItLCy4b98+pqWlMTw8nAsXLmReXh7DwsK4ceNG7t+/X1ysrKyqfd6xYwePHz/O2rVrc+PGjZRKpZQDrAuwBkAHgCqZjNHR0ezduzc15MdkFwAAIABJREFUGg1DQkIolUppY2PDAc2acbCbGz3kcnp7e4u/7+bNmzl16lTK5XJ27NiR/fr148mTJ7l+/XouWbKEJNmuXTuePXv2pffw+V7DvzUZGRns3bs37ezs+NZbb/H69eu/27HM/G9h9mT/xlRljnbs2PGl63ft2oWYmJhfVKjepUsXTJ8+HREREdBqtbh//z5yc3Nx8eJFHDt2DAsXLhQl//4VJpMJBoPhZ8NvBoMBdnZ20Ol0WLt2Ld59911ERERAEAScOnUKAwcOBAAYjUZ89tlnqFev3kv3c+DAAdy9excffPABCgsLMXbsWCxZsgQajQZXr17F0aNHERcXBwBYuHAh5s6di65duyIsLAwFK1didVkZkg0G3JPJ8OGKFUDnzrh9+zYCAwPh4OAApVIJkkhJSUFGRgaKiooQFRWFevXqwd/fH6dOncL8+fOxa9curFixoprohV6vR2JiIoCnqj3jxo3DbokEjxUKxK9ejSZNmojnlp+fL/5948YNseds1bloNBqkpaWJvWuHDRuGR48ewWg04vr163jw4AHGjh0Lf39/UaO5srISc+fORWVlJYzFxfihTRs0Tk3F1bw8DBw4EHK5HL6urrC5cwclJhNqSSSwCwlB0zZt4OzsjEePHuHgwYOwsLAA9XpsPnIEXQA0FAQovbzgHxeHvXv34r333sP7778PQRCwe/durF+/HnPnzkVERIQo8qHT6RAfH/9CRKJq3W+JwWDA9u3bsXDhQuTn52PUqFFYsWKFmKFsxsy/gzm7+G9EVSiwis8++wxnzpwRVWb+maFDh4qt0vr37w+DwVBNFai8vBwymQwzZswQu5j07t0bs2bNgr+/P1599VVIJBLs378fs2bNgp+fH6Kiol5qtJ2cnJCdnY1vv/0WGzZswLBhw9C/f/9qJTYvo8q4vvLKK5BIJOjfvz+8vb0RGxuLmTNnVmtIHRERgdWrV7+wjzlz5uCTTz6Bp6cnOnbsiBMnTuCjjz5C27Zt0bJlSxw/fhyFhYW4dOkSNBoNgKeKPHfv3oWTkxPipVJEpqcjHkAAAJdatTDvzBlIpVJkZWWhf//+8PLywvnz59GvXz+cO3cOZ86cgUwmA0koFAqEh4ejtLQU5eXl+PLLL8W53c8++wwTJkyAl5cXdDodDAYDTp06hcDAQMTHx4MkvL29xcSk2rVri6o/48ePR6tWrVBQUAAHBwdRn7hNmzaQy+WoXbs2KisrcenSJUgkEsjlclhYWECr1cLNzQ1bt26FhYUF4uLicO/ePRyeORN9pkzBZAATAczs1g0dZ83CiBEjUFBQgMvz5qFlYiImDRmCTklJ8PT0hIODAyoqKvDgwQPk5ubCQSKBPQkNgN4AbtWpA1nLlpg8eTK0Wi1sbW3h7OyM3bt3Y9SoUZDL5SgsLITBYICrqyuMRiO6deuGKVOm/Mvn4j+hpKQEq1evxpIlS+Dh4YExY8agS5cuL20MYcbMz2E2sn8jmjdvjvv37//km3hxcbGo/1vF+PHjMWrUqJeKiAcHB4tzhiSh1+vx+uuvY/r06fD394fRaIRcLkd4eDgyMzMB4IXa1Crc3d1x+/ZtHDp0CBs2bKgmRfdLuH37NsLDw3HmzBmxhOSfWbVqFZKTk6FUKmEwGHDr1i2Ul5eL841VWcOTJ08WE3YcHBxw+fJlbN26FYGBgWjYsCFef/119O/fH98vWoQ9s2ZhmMEAf5kMrwgCHFu1wrlz55CcnIzs7GxMmjQJhw8fRoMGDcQa1A8++ADDhg1Dbm4u/P39odfrX9BtLi0tRWhoKL744gsAwNixY3Hz5k0cOHAAzZs3x61bt2BhYSFeq8FgAMlqLcz279+PoUOH4urVq2jZsiUyMzNhbW0NR0dHXLx4EVKpFGFhYQgICMDmzZvFWl6ZTIbc3Fzk5uYiJiYGZVeu4EZREYIB2AP4WhCgtLTEkydPIJFIRO/SYDBAq9WiXbt22Ldvn9gA4tGjR/B3cMDj4mK4A3ggkaBUrcajykoEBgbCzs4OZWVluHPnDu7evQuj0QiFQoFFixahpKQE06ZNg8FggNFo/NmXr1/D9evXkZycjI0bN6Jdu3YYPXr0X6YrkZk/Mf+1QLWZP5wWLVowLS2NJJmTk8ONGzeK848kuXXrVsbHx//b+3teLefmzZusW7cuZTIZw8PDuX37dtarV48hISGsWbMmraysGB0dzU6dOonbaLVa8fhubm4kn8oLVqkh7dixg/Hx8aLs4b/LtGnT2Lt3758dV1JSwtjYWI4aNYoJCQl0c3PjypUr+dFHHzEuLo4Gg4FvvvkmmzdvznXr1nHcuHE8c+YMa9euTRcXF/r7+zM2NpYBAQF0s7dnrIsLY0NC2LBhQ1pYWFCpVLJDhw5MT0+nl5cXhwwZQpI0GAx0d3enTqdjdHQ0ExISmJ2dzbVr13L9+vVcv34916xZwytXrjAtLa2aBOOjR4+o0+mo0WhYXFzMpKQkrl27VlxvMpleOm9ddd8LCwvp6elJpVJJBwcHSqVSqlQqent7097enk5OToyKiqKfnx/z8vJYUFBAd3d3ZmZmMnvlSvYVBN4A2EUQ+FrTptTr9YyJiRGfhenTp/Ott97iokWLOGfOHCqVSlpbWxMAZTIZraysGOnnx8gaNehiZ8cVK1ZUewZ//PFHxsbGVjv3hQsXcurUqf/2/f8l/LuSh2bM/FrM8Y+/EYsXL4a7u7v49+PHj6sJ1derVw92dnYAgDt37qBHjx6YOXMmWrVqhdmzZ2PFihWwt7dHaWkpsrOz/7HjXbvgc/Agdr35JjzeeAO1atXClStX0KVLF9y6dQs9evTAoUOH0LZtW7Rq1UrcrGHDhmLGakFBgdgFJjs7G126dEFFRQXGjRv3i69zwoQJCA4OxnfffYfY2NiXjjl+/DhGjRqFOXPm4Pz585DJZMjLy8OUKVMwZswYzJ49G+fOnUNKSgqePHmCW7duITg4GBkZGVCr1bh+/brocZpMJvQdNEgUs09LS8PIkSPx/fffIyUlBYMHD8bDhw/x6aefIiAgABYWFggLC4NcLhdDxiqVCm5ubqJgv06ng0KhEFv4VbFnzx4sW7YMpaWl6NixI/Lz88X5VeDpnGxwcDD27dsHAJg1axZ0Op1YD+ro6IiMjAwEBwfD1tYWVlZWCA4ORtu2bZGQkIBu3brh9u3b+PDDD+Hs7Izt27cjNjYWmzdvxsGDB5FnbY2M0lL4h4Xhu4sX0bRpU1y8eBE6nQ5xcXEgidOnT8PX1xcymUz0ztVqNQIDA3H+/Hmcun4dADB58mTI5fJqnvvp06f/EAEHrVaLzZs3Y9GiRdBqtRg9ejS2bNnyQmckM2b+U8xG9m/EK6+8AhsbG9GguLq6Ijg4GEajUWw2XllZiTt37sDNzQ1r1qzB7NmzER0djaSkJHzwwQfw8/NDr169/rHTXbuAvn0RX16OLIkEcqkUP/zwA06ePIm7d+9CrVbj0aNHT0UU+vXDwoUL0atXL8hkMsyZM0csk7G1tUVISAj0ej3y8/PF+sg2bdq80GLu57C0tMTcuXPx1ltv4YcffoAgCNXC1HPmzMH+/fuxYcMGtGnTBj169ICLiwtcXV3RpEkTnDx5EmfOnMGWLVsglUphNBrRvn17SKVSDBkyBOnp6Th58iScnZ1RXFyM6dOn49y5cwCehqsHDhyIlStXQqFQwNHREceOHUO7du1w7do1TJgwATY2NpjctSvw5puQPOsL26FDB5SUlIjKUQCQmZmJTp06VQuNFhcXo0OHDvjuu+9QWloKHx8fyOVy5OTkIDU1FVFRUUhPTxeTn7y9veHv7y9uf/HiRURHRyM4OBinT59G586d8eTJE3zxxRcYPXq0mICUkJCA/fv3Y/To0QgODsaGDRswZMgQTJs2DSXr18NQUgJ3a2u0a9cO5eXlqKioELvBNG3aFHl5eaioqICNjQ0SEhKwbds2vPrqq/jxxx+r3at/Ln3Zv38/mjdvDq1WC4VC8dLSGJ1OB5lM9qtkCgsLC/HJJ59g+fLlqFOnDpKSktCmTRuz5KGZ34//riNt5o+kqgvHBx98wMmTJ4vfjxkzhvPmzXvpNvn5+SSfdp5ZtWoV09LSxI4qQUFBZGIiCdAaYBDA1u7uTE9P58iRI9myZUt2796dy5cvZ3JyMuVyOVu3bi12SiH/EcYUBIFarVYMF0+dOpULFiwgSbZt25YHDx4kSdavX18M5xUWFv7La7W2tuaUKVP46NEjOjo68tKlS3z8+LEoQm9lZUWZTEZvb28KgkB/f39aWlrS39+f/fv3p9FoFDvWBAcHMyQkhFOnTmVUVBStrKyo0Wjo5+dHg8HAhw8f8vbt2wwKCuLYsWPp7+9PHx8fAqCbmxuDg4PZsGFDAiAAWj77vbwBHpk1iyQ5ZMgQxsXF8e233+bu3bsZEhLCLl268PXXXydJGo1GrlixgsOHD6dEIqFMJqOtra34d9X+HRwc2KRJEwqCQBsbG3p6eoqi+w0aNCAAqlQqAqCfnx9jYmKoVqvF366wsJBHjx7l48ePGRcXx4yMDGZkZDAqKopOtrZ8D2ArgG4SCdvUrUs7Ozu2adOGDRs2ZEBAACUSCQEwMDCQCoVCDBdLpVICoLu7OyMjI+ni4sIVK1aIx83KyqJGo+GxY8cYGRnJmJgY8byfX6Kionjx4sWffd6fJzMzk4MGDaJGo+HgwYN54cKFX7S9GTO/FrOR/ZthMpnYunVrdujQgevXr+eJEyfo6+vLBw8evDBWq9UyNjaWBw8epK2tLT08POjr6ysaWVdXV8a3aEGDSsVAgAsEgWqplOHh4aIh02g0jIiI4NatW2ltbU0fHx9aWFjQ1dWVVlZWtLe3p729PQFQIpFQrVaLY6q61lhbW9NgMNDX15dqtZrh4eF0dHSktbU1s7OzSZLdunVj7dq1xf+IAwMDaWFhQblczkaNGlGj0dDf35+ZmZlUKpX09/cnAFpYWNDd3f2p4bO0FI2gRCKhRCKhVCqlhYUF7ezsaGFhwcDAQAqCUM1oCIIgGrqqbb29vcX9K5VKqlQqOjg4UBAEuqvVDAOofLbUd3JiixYtRONUtY+qfwVBoIWFBS0sLGhlZcXQ0FAKgkCZTEY7OzvK5XLxPAAwOjqaCxYsoFwu58CBAwmAvr6+lMvl4n6qjvP8saysrKhUKhkSEkJ/f39qtVpqtVrWr19fbBnoa23NcIDrAEYCHBAUxFq1apEklyxZQkdHR4aFhTEnJ4cmk4nr1q3j+vXr/62WbI8ePRJfun4LjEYj9+zZwxYtWtDFxYUzZ878ly9mZsz8HpiN7N+UnJwctmjRggAYExPDkydPvjAmLi6OcrmcQUFBFAShmifbuXNnWlpaMjU1lYavviITE2ncvp1SqZRKpZJhnp4Md3CgRCKhXC5njRo1KAgCQ0JC6OTkRKlUyho1ajAsLEz0+GrWrMmAgAD26NGDFhYWbNeuHe3t7WllZUW9Xs+QkBBGRUUxOjqaLVu2rOaNd+nShR4eHqxbty79/PxoaWlJJycnWltb09nZmcHBwbS3t6evry9DQkLYs2dPAmD37t25YMECAhC9Vh8fHw4fPlw0QiqViiqVim+++Satra1FY+ru7k6pVEpHR0eOGzeOTk5OHDt2LBs3bswlS5ZQoVBUM2ZVi0wqpQSgBKAMYISPD8+fP08PDw8OGzaMb775JkeNGkVrlYqDQ0L4WtOmXLZsGQsLCzlmzBhaW1jQRSKhQiajXC4XjaRMJqO1tbV4TrVr1+awYcMoCAIPHDjAQ4cO8ciRI2zfvj29vb25fPlyCoLAhIQE0YPs3LkzAwMDmZiYyGHDhnHDhg20tLRkYGDgUyPr7MxwgMMAekokjPDxobW1NcPDw6lQKMRzsLGxobW1NeVyOd3c3Ni4cWM2bdqUTZo0YXh4+O/a8u3JkydctmwZAwMDWbduXa5bt46VlZW/2/HMmPlXmI3s34jCwkLu3r2bEyZMYFBQEFu3bs0TJ05w3rx5dHBwYIMGDZiRkSGO7927txiyrVGjBjMzM5mWlsbatWvz+PHjL+3FaWlpySaenhwHsCVANUAblYpjx46ljY0Nf/zxR16+fJmenp6it/i8BycIAhUKhfi9TCajRCLh/PnzqVKpqFAoOHHiRPbr149JSUnicV977TUeOnSIBQUFTEhIEP9zd3FxoUQiYc2aNcXQqVQQKH/m9T3vyVlaWj41WgCdVSo62thQpVLR1taWr776Kj09PVm/fn1x/Ds9etDLyorRQUG8du0a4+PjOXHiREZERIjnXeXxPn+NVUZWACg883rd3d1Zt25dyuVyqlQqatRqWgH8GGBLQaBGreaECROoUas5RCplg2e/rfTZdVQZ26qsYa8aNaiSSql85uVWeewNGjSgVCqlra0tLS0tKZPJWLduXSoUChqNRoaEhDAgIIDl5eU0mUwcOHAgpVIpvb29xWPInyk81bC1ZXh4OJVKJaVSKd977z3xfty7d4/Nmzfn//3f/3Ho0KFs3rw57969+zs+3eStW7c4ceJEOjg4sGvXrjx69Gi1zGUzZv4bmI3s34j169ezQYMGnDNnDm/cuFFtXWlpKWfNmsX79++TJHNzc2ltbc179+6RrF5i07t3b77xxhv08vJ64RhxcXFMadOG3wCMBtgIYFJAAPv27Utra2u6u7szISGBXRs2ZLBGwwHNm7Nv374EQFtbW3p7e9PPz08Mk8pkMiqVSmavXMkgjYY+zs7s06cPNRoNnZ2daWFhwVq1atHGxoYeHh5i6NTV1ZW1a9emWq2mtbU1Y2Nj2b9/fx6YOpUCwBsvCZf26NGDFlUhX4B+z42pWbMmu3fvLoaIAdAOoAKgC0AruZyCINDV1VX0YJ8fKwjC07AyQE+AbgBjAFq85DwEQaAVQDnAAIAhAP2fjaktkXAWwKJnn2s9M3wWFhb/CGNLJHR+ZsTlz8ZVRQSe93yfD3fL5XKxFKfqXJRKJT09PcVweWhoKK2srFi/fn06CQLfqVuXPQIDCYChoaGMjIxkaGgoXVxcKJfLmZCQwOTkZC5evJinT59mvXr1OHbsWB44cICPHz/+zZ7r77//nn369KGdnR1HjRplljw086fCLEZh5iepavANvCgW0aZNGzRt2hQRERGiUtPo0aPh6OiIwuxs5OTnQw6gEoBUIoFRIoHJZIJcLoder4cGgBJADQA35HIYJRLY2tqisrISYWFhOHv2LCwsLFBeXg6jTocngoAwoxGdpFKkaDSASoXHjx+jbdu22Lp1K3x8fPDxxx8jISEBUqkUgwcPxpIlS3D//n3IZDKoVCqYTCboy8pgMBpBAAYAAgA+65BjZ2eH0ocPYcJTsYWSZ79DVW6zIAjVrkEKQAIgDMANmQxO3t7w8PBAXl4eTCYT+vfvjw8//BBlZWWoXbs25HI5Lpw/D4XJBBcALgCuq1RQOjuLYhLHjx+HVCqFtrISAgBPALkAnO3s0LRNG9SWSPD55s2oAHAbgJ1ajYdlZWIpjE6ng1IigZzEEzxt/3cRgG3NmvD29saVK1eg0+kgCAJkMhkePnwIAGJZ0cSJE+Hk5ISMjAyYTCbMmTMHlpaWUKlUsLW1xYULFyCVSNDaYEAtAF8BkLq5YezUqejSpQtCQ0Ph4OAAvV4PiUSCkpISSCQS/PDDD/D09MSOHTtw9OhRzJ8/HyqV6lc/my+TPHzjjTfMkodm/nSYS3jM/CQODg44f/480tPTUVJSUm1dVccZqVQKtVoNmUyGJ0+eYMuWLbh69SqOb9iAgSoVGu/cCf/gYFy5cgUmkwleXl7Iu3EDJpMJlQB+BEC9HjK5HE+ePEFFRQXy8/OhUqng4uKC3NxcUKeD0mhEKYDjRiMClErcs7FBYmIievfujW+//Vbs8GJpaSmWaTx8+BBGoxG2trZQqVTIz8+HBE+NZlXBRpWBBZ6WhlQZVBMACwCBPj54LAjo0qULli5dCktLS1RWVsKg12OGXI7pej3OA/hi7FgsyciAq6srzpw5A4VCgTp16sBoNMLGxgY//vijWIqkAHADT43kmPbtMfOLLzBy5EhERUWhrKwMbm5uaN++PTYuXowhLi5YVVCAIZMmwWg0ok+fPoj28kK/+fOhkkphW6MGHpaViTWpACDI5TggkSBWq0UuAIlCgaKiIri6ukIQBFRUVEAikUAQBEgkEtjY2ECp08GUk4OB/ftD4+AAFxcX5OXlQaFQQKfTobCwEJKqFyUARwGcfnYteXfuIDExEUuXLoW7uzsEQcClS5fQvHlzSCQSUSMbAHr27ImePXv+6mfynyUPx40bZ5Y8NPPn5r/rSJv5s5KXl0eVSsV69epx2rRp1Gg0JMnDhw+zWbNm1Ol01Ol0lMvl3LZtG9PS0ujm5sazZ89y4sSJDA0N5Y0bN1i3bl1mZ2czKCiIbm5uzM7Opq1azSYSCT2fhVtbR0Swc+fObNq0KSUSiThXKIY/BYEBEgkFgLYA3S0smDxoEOc0akSFTEa1Wk17e3sGBgYyNDRUPO+qLFpBEDhhwgRaWVmxrrs7G9vZ0U4mo/xZ5nBVdrNOp6OTkxMBMLJGDTra2FCpVFIul4vn9PzcatV8JwCxVKUqqSsoKIhbt26lRCKhRqMRy2Vat24tzqMCoLOzM7OyssQkoaoweVXGctXfVVnBMpmMHh4e9PHxEROwqpLN7OzsKAgCY2JiKH8uVO3h4cHw8HAePnyY+/btE+eIg4ODKZFI6CkIrAcwEeAsgA2trdmsWTMxmcnW1pYODg6MjIyktbU1a3l4sKkg8D2AJktL9mnShKmpqVy/fj09PT1Zp04durm5EQCjoqIYGxsrzu2/jBkzZnDVqlX/8nm8du0a33zzTWo0Gr766qv84YcfftPn3YyZ3wuzkTXzkzw/b+vj40OtVsvi4mLa29tTLpeLCUpV9a0ajYY2Nja0tLQUE2uCg4Pp7e0tGiipVEqpVEpLpZKCRELhmVFVKBSUSqUUBIFBQUF0dHSkvb09BUGgra0tfZ2dqZLJWNPOju42NrR4lpmLZ4lVtra29PX1pSAIVKlU/H/2vjs8qjL//ty5d3qfyWSSTJJJ75CEkEYgEUIXQYq0KLg2UHCxgSgouqDoqqigIoooslh+sCpiA0UQUXSRJkWUJiA9lBBImSRzfn/M3MsE0G3u7tfdOc9zn8zceW/NO3Pup53P6NGjW5XkpKamMtJsphOB2lSELHJs0mg00mQyURAE7t69m7fffjt1Oh3z8vIoiiLvvfde2u12hZTl8hxBEOj1epXXMumqQ0gYALVarZLYJY/VaDTU6/W87777WFNTw44dO3LgwIEcOHAgCwsLmZqaytGjR5MMZM2qg7Hf0DIcnU6nEDKC8VT52lUqFQ0GAy0WC91uN9VqNR0OR6ukMgPAjOADjw5grNHIyspKJetbuiCLWafTKclbE6KiqBZFjh07lgsWLGBERATnzp1Li8XC5ORkkuSnn37KsWPHKklIt99+O/v166dcZ05ODtu3b6+8HzBgAPv27atIHvbt21eRPDxw4MC//4sQRhj/BMIx2TD+KYTGam+//Xa88MILOHjwINasWYMbb7wR2dnZWLBgAbZt24ZPP/0UJpMJ27Ztw9VXX43GxkasXLkSa9aswbBhw7Bjxw4cP34cAwYMQJs2bdDQ0IAnn3wS+fn5OHfuHAoLC7F161ZIu3ej/qefcA2A6QCSY2Kwqb4e9fX1aGhoUFycMtRqNZKTk7F3506wpQVOANUAtGo1fIKA5uZmREZGKrHm0E5FwHlVosceewzjx49X1mu1WgiCgIaGBiQkJKC6uhpNTU2B1m9JSfD7/diyZYsyXu5g5Pf74fF4cPDgQVgsFjQ1NSEzMxMAsGfPHpw9exYkIQgCmpqaYLVakZCQgIaGBiQmJuLbtWtxrrYWJrsdvYP3qqysDI888ghWrFiBwYMHY8GCBVCr1WhoaMA777yDSZMm4eTJk2hpaUFcXBy+/vpraDQa1NXVQSdJqCJR1NKCFwE8Pm0aZm7YgNWrV6O6uhoGgwHqoDtfrVZDq9WiNqjiJSDgMhY0GkTHxuLHH3+E0WiE3+/HuXPnoNFoIEkSzGYzNmzYgJiYGNTW1kKn0ykSko888giioqKUtoQNDQ1YsGABnnvuOdTX1+O2227DiBEjwpKHYfwmEQ5khPGroaCgAKWlpVi0aBFef/11rFmzBgBQXV2NQ4cOKR1iAOC5555DS0sLJElChw4dsH///kDCT7Ddmd1uR2NjI7Kzs7Fx40ZkZWUhKysLdrsd3/l86H3oEHr5/ZgA4PohQ7Bozx54vV688MILyMrKQk5ODpYvX46zZ8/CYrFg1qxZmDh6NE7v3o1GBExAnV4P+P3w+/1ITk7GlClTFCm/c+fOYdy4cairq4PH48E777yDzz//HGq1GiShUqmg0WjQ1NQElUqF2NhYnD17FrW1tfB6vXjnnXdw99134/vvv4fNZsOJEyeQkpKCRx99FCNHjoTBYIBIQlVfjw6Zmfj4m2+wYMECjBo1CjExMaipqYHH48Hu3bshiiIkSUJ1dTWuad8e+2tqsBtAwokTWPz667j++usxfPhw7Nu3D42NjXjzzTeh0WgUUrzzzjthsVgQExODY8eOobq6OhATb2hAv379sGPHDnx25gw2Nzdj6+nTuOnVV+FwOJQ2gSaTCSQhSRLS0tIC0pf19dD4fHgdwDwAS5uacPz4cSQmJmLXrl04e/YsevXqhfnz52P//v147733EBMTA+C8/rKMn376CRqNBrNnz8aRI0dw+PBhJCcnY8aMGWHJwzB++/gPWtFh/BfgUt1zFixYwHHjxrUad+LECdbV1fHVV19lTk4Oly5dyhdffJEajYYGg4Ft2rRhZGQkExISmJCQoLhwRVFkXFwco6KimJKSwrZt2zI1NZU2jYYGnBeL0Omykpx1AAAgAElEQVR0ipiE7FJFiKs2OzubVquVoiBQc4GykhzTjI6OZklJCUVRVNyqqampnDRpEmNiYjh58mSmpKRQrVbT6XSypKSEbreboijywQcfpMfjUWpKz549y/Xr1zMpKYkul4vJycmMjY3lnj17mJWVxV2zZzMbYDHAkaLIc2++yT/96U/My8vjyy+/TI1Gw6+//ppZWVmKrOLIkSN5bUYGRYCPB0t0APC1115jY2Mjhw0bxrS0NA4fPpzTp09n//79abFYeObMGZJkSUkJ9+3bx4cfflhRhrr99tsZExPDa665hiR55MgRFhUV8eqrr1Zc0pIkKTKMsjCHWhSpCZYXOQA6DAalttmg1dIYjKlrNBq63W7eeeedylyYNWsWp0+fTr/fz5kzZyqSh3q9ntdeey2nTZvG+++//189dcMI49+CsLs4jL8bzc3N2LZtGz777DPce++9OHv2bKs+sM3Nzfjxxx8VYfoVK1Zg6NChKCsrQ1RUFMxmM9auXYstW7bAarVi7969qK2txcSJE1FcXIympiaMHj0aNpsNp06dQkFBgdL0OzIyEseOHoWeRB0CLBNlt0NntcJoNGLbtm2K5cOgy9Xv9yvWIIN9b+VpX1RUhI0bN0IURTgcDvTv37+VlSX3SZV7poZ+XS58D0Cxbj0eD44dO9bKbQ0AVqsVNTU1rdbZAdSJIhovcFPLJUMajQYZGRnYv38/Guvq0Ozz4TYATyJQhjRv3jzccMMNP9tIwWQyQaVSoba2Fnq9HvX19SAJj8eDuro6JXPcarWCJGJjY7F7926oVCrU1dUpDd01Gg0KCgpw+vRp7N27F00NDXjlssuwpKEBq/fsweDBg/H/XnoJ39fUoAXAFSoVOg8ejPd370bXrl3x8MMPA8HzPXr0KNq2bYtRo0ahsbER3bt3x5kzZ/Duu+9i/vz5OHLkCCZOnPhXZmIYYfwG8B+j9zB+k/ilrOPKyko2NTXR5/OxuLiYc+fObSWriGDyj9FobKX3m5OTw44dOypygLIer0ql4tixY6nVajlu3Dglw9esVvM6WeQBoBRMdpKTfUIzgOXFZrMxMjKSJpPpklKHQEDAIjQj2Wg0KpnLCAouyGL38pgL9yEng4V+Jlt4srgGACa63TQBtAUtWS5ZwkWLFjEzM5NxcXEURZEWi+WiYygSiiHr2rVrR71eT5VKRbvdTrPZzK5du7J79+602+1KwtGwYcPo9Xr5xz/+kR6Ph9OnT+e4ceM4dOhQer3eVr1ob731VlZUVLRS4ZItfo1Go3gN5s+fz0cffVRJjkowm5kPUI+A4IbXZOKQIUP43Xff8dixYzx79iyvueYaRkREKP/r0tJSRkZGMicnh1VVVXz55ZdbqXmFEcZvGWGSDePvxs9lHXfq1Inp6elMT09nv379ePjwYVosFmZkZDA3N1cpHZEkSRHol5WFtFotDQYDdTodc3NzFQKR3ZSh5SyqINEYg2MiLBYWFRUpBGaz2RSyLCoqUrrguFyui/SEW6ksmUxMSkpSzlMmuujoaCYlJfHWW29tRbLytm63m2azmRqNRiHnUIH/0PEDBgygIAiBhwqAsXo9Nz31FEly0aJFzMvL47Rp0yhJEtPS0hgdHc3u3buza9euHDhwIP/85z/TZDLRaDQqDxVTpkzhsmXLGB0drWRlt2nThiaTiXPnzuXp117jweHDKV2Q9azRaBgREdHqHkjBkiiTycScnBxFLcrr9dJms7G0tJQul4tVVVVUq9XMzc2lxWLh3r176XA4eEVhIW3yA0fwAUgm5+uuu45Op5P5+fm88cYb2bNnTw4bNoxz587ltGnT6Pf72dDQwHnz5oVJNoz/GoTdxWH8y3D69Gnk5eVh7dq1+Oijj/D000+jubkZdXV1sNls2LRpE/R6PTIyMuDz+dC+fXscPXoUVqsVb7/9NoBAZl59YyMsRiMa/X643W7YbDZs37oVDr8fx/1+6HU6tAgCRFHE2bNnL3kugiBAkiRoNBo01NWhJTjtRVFEdHQ0fvrpp8DxJAnNzc0XbZuamora2tpWzeUvzGKWoVKp4HA4UF1dDZ1KhYagG/dS+wYAm9EIjdGIY8eO/dV7qtVqcW2nTnhvxQqcUqtR5/PB4XAoLl+Px6OoLDU0NMCi1eL3585B6/fj7uA+EhISsH//fgwcOBBarRaLFy+GTqdDeno69uzZA5fLBZ1OB7/fj02bNsFoNCoKTrLLXU6cGjt2LJ577jm89dZbGDhwIF555RXcOno0royLw+iBA1H2yCMQRRE6nQ7XXnstfv/732P16tVYtGgR1q5di6ysLBw/fhxHjx6FwWBAQkICevfuDbVaHXYXh/Hfgf8sx4fx34JvvvmGmzZtarXu1KlT9Hq93L59O8vLy5mUlMSHH36YZrOZzzzzDG02G9unpPCRkhIatFqmpqYyMTGRcXFxNBgMdFksNCOgIxwRtI7kek2DRqNoCwsAI43G81Zv0IpCSHKQ3CYOIZ9FANSqVHQ6nUqCT8+ePZntcLAtArq/NwM0ButJL+WG/qVFFXL8CxdNyN99AMtD3NhGQaCIQM2q3KkndFvhF/Z7qSU1eJw8gBpBUNrfZWdnK9Z/q/MOuvJjYmIIgMXFxdRoNExMTGzV11Wj0XDx4sW0WCyMiYlhTEwMly1bxrvuuovZ2dm02+0URZGSJLVKhKuqqmJcXJzSiWfevHmcNm0ae/bsyTFjxoTdxWH8VyFsyYbxq2Dy5MnQ6/WYNGmSsu706dOKVXRh4lDoaxOASACNej0O1tcrCT8qhOgGh7wGAK0gwEjiZPAztSCgWaUKlAUhYAE3IKAtDABZ2dn47rvvYFOpcKq5GQyOab7gXOTX8nalAHZrtTgZLPXx+/1KQpUIoJmECYBsP4uiGPjc70dLyPGJgCXr9/shCAL0goC6kPO4LiMDi44dw2WXXYZJfj9K33kHSQB2AXDp9Tjm80EURdhVKpgaGnAIgBqA22qFLS0N69atU6zMlpYW5TrUoghLSwtaAAxTqfASgBZBQEtLC1JTU3Fo/37UNTbCYTbj8ZkzFRnNbdu2wePx4MCBA6isrMTKlSuRnZ2tyCMCwMcff4w33ngD69atQ+fOnTFq1CgkJibi888/h8vlwtmzZzF58mS8/fbbGBoRgTuSkvCKKOJ3M2ciPj4eaWlpOHfuHE6cOIGWlha43W5s374dJDFnzhwMGTLk752GYYTxfw//IXIP478Au3fvVppgT5w4kXPnziUZaJb9+uuv89ixY/R6vdy4cSM7d+7MhQsXMiEhQVFxigxanuqgtWYQRRqNRm7atIlWq5XXd+2qWGyyJSvHPTNjYxULTwW0kiq81GK1WhkfH9/KEhwPUCtJSrmQWq3mqFGjCAQ66+gA3i1JHNShA6Ojo/n888/T6/WejyVLElUAO4VYlgaDgSaTiYPLylgUvLYIBFraORwORe1Jp9FQFTyXeIBcsoSRkZEsKChghNlMI6CUKMmLIAgUVSrluiWAVoOBdXV1VKlUrKqqoiFYSqPX62m326nVarninns4PDWVUvA64+PjqVarKQkCrSH7F4MWrNytJyoqiqIosqCggDExMbz77rtbLYIg8I033uDOnTvZq1cvCoLADh06MCIigpmZmdy0aRN37drFwpQUnhMEEuABnY6L776bW7du5fHjx9nc3NxqTm3dupUffPDBv30uhxHGvwphkg3jH8aAAQO4cOFCkuQtt9yikOwnn3zCsrIynjx5kl6vlz/88ANtNhuzsrJYVVVFl8vFp556ilXl5RQAtkEgG3Vcnz687bbbWFJSopCBQpLBJB9ZltHpdNKk01EUBBoBRhsMjLbbLyJXbdC97PV6A8QiSdRe4CKNjY1Vkn4KCgoIgM6QBCc5SSszM/OSSVPGkP15PB46nU4mJCTQaTYr2c/y55IkKQlWJlGkFmBSMEO7Y8eOdDgcgQQtSWJkMHnL7XYHNIbj4ylJEgeVllIA6JQkiiqVcl6hWdvKOQIsKChgcnKy0sbObDYHesAGHyQkBDShjcG2giaTiRaLhTabjaIo0mQysW/fvty4caOybNiwQWl7Z7fblVpao9HIiIgIJicnMzc3N5CApVYzC+AygAR4XWamkiB34XLDDTf8x+ZzGGH8KxAm2TD+ITQ3NzMmJoY1NTUkySuuuIJpaWlctmwZe/XqxXfeeYenTp2izWYLxFddLkW8XyUIbOt0siA5OUCEKhXFYHbvjBkzWpX2yDHDMWPGUK1WMyIigpdffjmtViuNRiNL09OZA9ALMPIXLNn09HQle1kuP5HJKEqrDZyHVtsqe1he0tLSlCxoURSp0WiUeGXofi61hH6m0+mU7GY5Q1qULfQLmg/80v7EC8aZg2Tcp08f6vV6SioVLQjEYVXBbWS9YtkbIG/rCJLsWyGfySQb2g9XXvR6fStN5rS0NJaVlXHSpEmMj49nmzZtuHfvXs6cOZMNDQ3cu3cvyzIz2SBJJEAaDOxVUMCVK1deNKdWrlzJK664QnkvEztJNjQ08MCBA1yzZg3nzJnDa665htXV1f+WuR5GGP8MwnplYfxD2Lx5M8rKymCxWAAAW7ZswZmgnm1kZCT69OmDjRs34vTp07jjjjtgNpthNBoRYTRCQ+K7EyewcfduAECj3w8/CZ/Ph6eeegokMX36dOzdu1fJxn3uuefQ1NSE6upqnDlzBrW1tSgrK8MwlwvfA7gDgCd4bj169EB+fj5EUYTNZsPs2bOxY8cO5OXlwe/3o7GxEaIowmowQAXgaFA+sLGxEfX19co1Wq1WSJKEH374ASRhMBgUcYsjR44o4+TerADwhz/8oZUMIIOxXpVKhcbGRvh8voB0IwKxZBUCMVlV4IEXAGA0GmEymaBWqyGKoqJ5DARixhqVChoAipJv8B4VFRUBAFr8fpwB4ANgAeDQaLBgwQLlPJKTk6HRaGC32+HyeCCoVJCbz/l8PjQ1NSn3XR73pz/9CVOmTIHFYkFxcbHS/3bnzp1Yv349nnjiCezfvx/fffcdkpKScMcdd6Bbt24AAL/Nhuv1epwZMQJ4/XWs2LIF9fX1+Oijj3D11Ve3mleh906n08FoNIIkrr32WkyYMAF9+vRBU1MThg8ffpEQSBhh/J/Ef5Dgw/gvwebNm5U2aG+//TbJQLZxZGQkL7/8csUaVavV9BgMTA5aUAAohWTtjhgxgsnJydTr9bz//vsV1zAAJY4LnO+ak5aWxpToaOoApgC8QqWiXqPhmDFjeN999ykCCh6Ph8OHD+fBgweZmpoacLkOGsQUq5V2nM/iFXFeYMLlcrF79+4sKCjg7bffzpdeeolGo5EFBQUsKCigy+ViUlIS/X4/u3fvzoqKCj7//PNcu3YtJUni1VdfzZqaGvbq1YsdOnRgeXk5N2zYQKPRyLy8PPbIz2cGQHPQVW7Uaul0OmmxWJiVlUWTycQePXowMTGRX3zxBSMiIihJEnU6HSMtForBbXU4H49Wq9W0B13mAgJiEJAt5eC9EASBiYmJgbhw0Ko3mUyMjIxUaoPlbVQA9SHdd7RaLT0eDw8cOMCNGzcGYuUREayvr+fJkydpNBq5dOlSdu7cmX379uXx48f50UcfMTs7mxUVFcp80el0jIuLY1xcHC0Wi+IqjouLU7rvNDY2csiQIdyxYwebm5vZ2NhIv9/PNm3aKPtpaGj4d0/1MML4uxEm2TD+aVx55ZWcO3cus7Ky2KtXLx48eJB2u51vvPEGyUCMNjc3lxUVFazIyWEUAkISsqvUoNXSplYz0mqlTqdjt27duHjxYvbs2fP8D36QZAVBYFJSEqOiopQeqx3S0zkhPp5mrZbz5s2jKIp0u9186aWXaDabGRERwfj4eCYnJ9NkMtFms7FPnz6URJE6BBKMhKAL12w2MyMjg4WFhUxPT6fb7eaZM2d488030+VyKdc8btw4pqWlKe/lGKV8vjabjZmZmWzTpg07d+7Mtm3bMiMjg5Ik0e12U6VSKW5fAeeFIGR1pa5du3LRokWMi4vj5ZdfzuHDhysu8qioKKoAmgWBbVwuOp1OCoLAMWPGcPTo0bz55ptpNRioBpT4s9xWD8G4sCAITE1NZXR0NJcsWcLHH3+cer2eq1atUkqgIgBGAXQZjUqsNjU1lWVlZUq83Gq1cvTo0XzooYcoiiK7dOnCRx99lHFxcXz22WeZmZnJgoICzpkzR1Ge0mq1XLlyZSu963feeYc9e/Zkjx49uGfPHubn51OSJObm5vLtt99mu3btmJmZyaioKJpMJpaWlrZyLYcRxv9VhEk2jH8K999/P7t06UK/388rrriCGRkZHD16NL///ntlzObNm3nzzTezpaWFN954I7VBacQ/DB7MOLWaAwSBa4LEG2Wzsbi4mDabjTExMUr8TyZUuSfryy+/TKPRyEGDBlGtVtNsNnOox8N7CwooCALtdjs3btzIZcuW0Ww2U5Ik9u3bl+Xl5Rw4cCDtdjsXLFhALllC/5gxNEkS8/Pz2a9fPzY1NbGpqYmvv/46p0yZosQDDQYD9+3bx3PnznHgwIFMSUlRLG+5sXtWVpZibRcVFbF79+60Wq2Kle9yuVhRUcGpU6cyLy+PCQkJ7NevH10uF3Nzc+l2u3nzzTczLy+Ps2bNotlspiAIHDRoUKsMYwEXZx9bLJZL1r3KlqzL5VJI3G63s6CggO3bt+err77KyMhIRkZG8uDBgwQC/WXLgx4CjhnDqVOnKl6KU6dOMT09nWazmatWrVLIMDk5mTfffDOvuuoqpqenMy8vj5Vt2vAJtZq927VjWloa09PTKUkSyUBTifLycvbt25fdunXjRx99pGQbHzhwgAA4fPhwNjU1kSSvv/56fvDBB7zjjju4fPnyf/NMDyOMfwxhkg3jH8L+/fs5cOBAFhQU0Ov1Mj09nSaTqZX+b1RUFFNTUxWRiNCEG6XBeAgROIPuYyAglBATE9NKu1dOyJEJZfz48YyOjmZpaSlVgsB4gFqAriBZi6LIdu3asaioiJMmTVKkEz0eD9euXcv777+fu3btIkk6HA7qdDr269ePixcvZnFxMT0eD10uFy0WC8vLyylJErt27crKykp6vV727t2bZrOZ99xzD3fv3s1Zs2YxOjpasVKj9HqKgqCQX3Z2NlUqVasG6DJxhv4NXWT3bnZ2NkVRZHR0dKvPJYC24H2VLWUA7NO+PQvlewrQ63Ip0pRRUVGK+zc1NZUej4fZ2dl0u93UBpPAZPc5AOYmJirbHD58mO+9957SwH7nzp3s3Lkzo6KiaDAY2L17dyYnJ1OSJM668Ua+q1JxP8AWvZ5csoRk685NOTk5/PLLLy+aX0899RQtFgtvvPFGLly4kLNmzWLnzp158uRJnjhxgh06dODChQsVAg4jjP+rCCc+hfF3o7a2FpdffjlSUlLw5Zdf4scff8SOHTtQWVmJhQsXoqamBllZWYiNjcXmzZuxZs0ajBkzBk8++SS8Xi/uvvtuaDQaDB48GO9OnowOKhWuB3AGgUQhm82Gw4cPo6GhQRFvkAUq5B6nFosFr776Kqqrq3Hs2DFcmZiICgAlAA4BOFxVhe+++w7r16+H1WpFY2MjevfujczMTJSVlWHXrl0wGo146KGHAASEImSJxYEDB+Krr75CQkICbrrpJmzduhXPPfccDAYDnnnmGSxcuBC5ubnYuXMnVCoVVq1ahSFDhuDBBx8M9D8VBFwFoLq+HtEkEhwOdO/eHRMnToRGo8G7776LKVOmQKfTITs7G4WFhaisrERkZCQcDgcsFgvefPNN1NTUoKWlBTt37sSzzz4LrVaLkydPAgBEBIQuWgCcaWoCAFRVVWHUqFHIzMxEWlOTkhxFAFEqFbRaLQAgMjISUVFRSE9PR1VVFTZv3owHH3wQx48fB0kkJibCYbHAERxviIqCJEkQBAEPPvgg1q9fj759+0KtVsPn88HpdMJsNsPn82Hx4sUoKiqC3+9H9pdf4gq/H4MB7KivB5Yvv2guyT2IQ3H69GnMnTsXlZWVuOuuu7B9+3YsX74csbGx+OSTT/Dhhx8iKysLixYtwldfffWrzeswwviX4D/N8mH8NnEpC6Jfv35KacYHH3zAdu3asaamhi0tLVyyZAmzsrJYXl7O7t27U6vV8oUXXuDSpUv554kT+XavXkyNjqbD4VBKZSIjI2k2m2kzGtkuIoL5SUl0Op1s06YNN2zYwClTpihdZ/a9+CLvEgT+HuBlKhWX3Huvcl6ZmZl0OBz85ptvWFFRwZqaGr722mvs1asXFy9eTJJ0u91csWIFExMT6fP5+N5779HhcDAjI4Mej4ft27dXxPP1ej0zMjL47rvvsqKigocPH+bs2bNpMBiYn58fsOKD7lZHiEWIoBu5srJSifnKTQ+A89165NdyX1u56QAApRZVBNjT42FqdDSNRiN1Oh0//PBDXnfddXz//fc5uEMHCkHLHgAdIfFiq9VKq9WqWNTFxcVMTEyk3W5XYsFqtZrZ2dlKEpicGBUVFUWv18vU1FRqNBrFS2EwGBRXtGxNCwAtQUu6SKVieXY227dvT7fbTbJ1D+JQvPfee3z66ac5ZMgQ7ty5k/X19WxpaWG3bt24YcMGLlq0KCy7GMZvBmGSDeNXg0yys2fP5rJly3jLLbfQ7XYrSTJSUOxAdieHkkphYaGSPSsIAtu3b69kE6uDZKEOZtJaLBb6fD62adMm0PrObGZaWho9ViudwR/4lJQUejweDh48mPHx8Xzttdd4+PBhVlRUsLGxkYsXL2ZVVRV9Ph+nTZsWSKDq0IGXXXYZH3/8caV7kMFg4OWXX8433niDAwcOVDKXKysrWV5eTq/Xyzlz5tDtdnPVqlXcsWMHAfBBSeI5XKwxHKoJLAQXrVpNnU7H7Oxs5uTkUKfTceTIkdy8eTMPv/IKy6OjuWjCBALgyy+/TJvBEIjJBhuiy/epc+fOtNvt9Hg8Si2uPXgMq9WqkLnVamVaWppyPp06daLX66XRaOTEiRMVwYy3336bkiTRrlJRBVCnVvOFF17g9OnTOWLECObn5ytCGFFRUZw+fTo1Go3SGjAmJobv3HMPByUn87tnn+WmTZv49NNP02g0cvny5fzwww9bkez8+fP5zTffKO9lkiUDddmxsbH0+Xxhkg3jN4UwyYbxq+Gyyy5jaWkpO3XqxB9//JF+v59du3alJEksKipSJBjlJKKtW7fy8OHDLCsrI0kajUZFeD4tLY25ubl0qdUsBVgMcAoCwhVyVq+cVVtRUcGMjAzabDZqNBp6vV6WlJQErOBgbFbOSpZb6tlsNiUDOD8/nwaDgZGRkUqzAJmA5DiuTGROp5M6nU7Zp/zwIG8jE4yoUnFUdjYzPB4WFhZSp9Oxc+fO7NmzZ4DEBIGpAB9GIJPXqdcrDx1y4tbo/HzuE0VmhVikCBJ3aCxbXkwmk6K0ZLPZmJOTcz7GGmIhh1rPd911F9euXcupU6cqWdly3PvnxDHkfRQVFTE9PZ1arZYlJSUsKipSWumJokidTkez2cyioiLlmnJzcxXFq48++qhVD+KUlBSOGTNGmU9XXXUVf/jhB5LkrFmz2KtXL5KBloAPP/zwv3NqhxHGPwzpV/Y+h/E/CpI4cOAArrnmGtx3332KqEBlZSW6deuGHTt2YPjw4Thy5Ajq6urQ2NiI0tJSZGRk4Pvvv0e7du1w7tw5eL1erFu3Do2Njdi7dy/Q1IRvERBs+BEB4YoBAwagpaUFUVFRKCwshNvtxpYtW6BSqeDz+bB//36oVCoYjUakp6fjhx9+QG1tLQoLC7Fv3z40NTXBbDajuroa586dQ1MwppmamgqTyYQvv/wSGo0GTU1NcDgcqKmpUcbU19fD5/MhKioKhw8fhsFgQGlpKSorKzF37lyo1Wo0NzcjNjYWc7ZtQ2pqKmpqauDz+bB+/XrYbLZAS77mZhwDMAWBuKrQ3NxKXOHUqVPYK0l4r6UF2y+4135cGg0NDTh06BDsdjvOnTuHQ4cOQZIkNDY2wmazKU0aVMFGClarFU6nEwsWLMCiRYswZswYuFwueDwerF69GkePHsWRdeuwq7oaDwDoBaBIrUa934/evXvj1VdfhdvtRlpUFC4n8eC6dRAkCRUVFVi9ejVaWlqg1Wqxfft2OJ1OvPnmmxg2bBhEUYTX68X69etx5MgRaLVaaLVa6PV6bNy4ER07dsS2bdvQrl07NDY2oqamBu+99x5mzJgBINCEQa1W/wqzNoww/g34T7N8GP89OHPmzEXrpk+fTqPRyKSkJKanpzMqKkoRyk9PT2dycjJ1Oh1tNht3797NhoYGulwuDhs2jIIg0GazsSA5mXlOJ1Oiouh0OjlhwgQ6HA4ajUbGxcVRFEXm5eWxW7duNAsCL4+L46mFC9m9e3daLBampaVRHXR13nvvvVSpVExOTqbD4aDNZlManE+dOpVOp1OxTLVaLe12Ow0GA61WK4uKimixWBgREaGMGzJkCF0ul1Jb26lTJ+r1enbt2lXJktbpdDQYDExJSTkv7KBWcxQCghIugF1zc6lSqdizZ0/F0uyWm8vJkkQBYJkgMC0mhmLQdZsWtCrVQcEOQRBoNBqZkJDAiIiIiwQ8pJBGCEBAv1iOjZaXl9PpdJIk6+vr+bvf/Y52u52xsbGMd7koATQFLWhJFJVreeaZZ1iZm8s2AKcCTAcY43Aoze5TUlJoNBrZoUMHqtVqNjY28p577mFkZCTfeust9unThwsWLODll19+0bwZOHCgkvkdRhi/ZYRJ9n8ECxcuVFxvDQ0N7NixIw8dOnTJsc3NzYpwgIxz585xxYoVf/U4n3zyCd99913l/ZVXXsnHH3+cr732GsvLy5mTk0O3201RFHnjjTdy3759FASBbdu2ZU5ODtPT05VOOzabjStWrODBgwdZUlLC0aNHs76+nldccQVNJhN79+7NPuMag4UAACAASURBVH36sGfPnuzfv79SdjIg+INvCzYVCHV7SpJEQ8h6mURl96ZMTvJ4IKDGJIs5yAk+oZ/Li7w/rVaruFwnTZrUSqQiVBQidBFFUdF5Bs6XO0kqFS1qNUvS0hQyFQB2DBJmqDvY4/GwXbt2rdzYarWa5uA2+uD60EQqOaFJLqvJysqiJEl0Op1MTk5mRESEEju2BnvKduvWjR9//DGTkpJY6HLRGHR7bwfYPzGRoihy/PjxygOJ1Wql3W5nS0sLly9fzjvuuIPNzc286667WFdXx1mzZrFDhw4BsZKKChYUFPzs3AwjjN8awiT7P4K33nqLcXFxXLNmTSB5xmbjyJEjlWXEiBFKB5SHHnqIw4YNayVbd/r0adpstktmFS9YsIBZWVnMzc1VmnXn5uYqP9gxMTF8+umnefz4ceXYAJiQkMDY2NhWhCCLT8gt4f7WZunymB4Au1zw2c+RIhDoXPP3NGP/a2PlY8l/NRpNq226d++ukG6o0L5skYqiSJVKxbi4uIviqAiJxcpCFHKjgcjISIpBK/Oic7rENeh0OqpUKubl5Smde8rLy/nAAw+wqKiI48eP55QpU5T9CyHHVqlUHDduHM+cOcPx/ftTA3AIwBxBoEGrpVarpcvlol6vp9Vqpdfr5axZs5S5U19fz8TERGX+PPjggwFhkCAqKip48ODBf9VXIYww/q0IN23/B1FfXw+dTgdBEP764P8j2LZtG5xOJ8rLy/Hqq68iKipK+czv9yuNvH0+H6qqqlBQUIClS5eiubn5ohjYkSNHsGvXLgDAX/7yF/z+97+HTqfDxo0bUVtbi/LycgDAjh07oNfrERERga1bt8LtduPgwYNQq9UwGo2orq5W9imKIlpaWgAAWq0WarUakiRh6NCheP755+HxeFBfX49Tp05BkiQ0NzcjKSkJR48exZYtW1DQpg2ks2cxC8A4ANUqFZr9fng8Hhw8eBCpooidLS1IAdBHEPA0CY1Wq9TeytBqtUgEsLexEY0INJWnSgXo9cjMzMT6b74BARgRiI/6BAF+AHq9HiqVCnV1dVCpVGhublaauPv9F0dSDVotfI2NaAZwtUqF1xFgMbk2GMDPiuALwbGXunehUKtUEPx++ABoAOjVasRnZGDbtm3K/12tVkOv18PhcMBkMqF///6YNWsWWlpaUH/2LPwktADqAagEAVKwccGaNWsQFRWF0VdeiY3r1wM2Gw6eOgWNRoP4+HicOHEC586dg1qtRm5uLnbs2KH8vzMyMrBjxw4AwLRp07Bw4UK43W4AwNmzZ/Huu+8iJibmktf+3wa5aUQo6uvrodVqWzVMCOM3iv8sx/92sHr1ag4fPlx5X1JSwn379v0Hz+hvx6FDhzhv3jz6/X6OGTOGeXl5itB96CLHwI4dO0afz8fm5mYOHTqUx48fv2ifw4YNa/W+paWFkydP5tixY+l2u7l48WLW1dUxMzOTd999NysrK9m9e3f26NGDRqNRkSGUrbUEs5k6UaRWq6XVaqXT6aTb7eY111zDe+65R1FKkutGgfPZvLJbEwAtGg0HuFw/a2lqZGsu+LeioqKVpi9ky/ECi9Wi118U17xUhm+oRQqAd9xxB8ePH08AHDp0KH/3u98p6klqQWBhcLuICyxOl07HrKA1azAYqNVqKUkSb+nZk9mA0mxdEyx7euKJJ1hSUkKdTkeTyaT0wNWJIt0Ilj/hfLs6+Th2u52pqal0u9286aab6HA46Ha7aTKZGBcXR7vJxAycV5dSCQLz8/O5b98+VldXs3fv3rzllluYnZ3N4cOHMzo6mhEREXzzzTdZWVnJlJQUZmVlkSTNZrMyX9LT05XXU6dObWXJ/jdg27ZtfPrpp0mSDzzwAOfMmUOSfPLJJ7lhwwY6HA5l7Pjx43n77bezsLBQWdehQwd+8cUXPHv2rLLu008//aulS2fOnOHJkydJkkuWLOGPP/5IMtCwI1Tq9Jcwe/bsv1lJ68knn+T999//N439X0WYZH8Bn3/+OTMyMlhQUMCMjAw6nU6FkEwmE3Nzc5XPVq1aRZLs2rUri4qKWFFRwczMTHq9XiXWpNfrW+2/f//+zMnJYVlZ2SWXnJwcDh48+J++jl27drGiooJ9+/bl0aNHOX36dM6ZM4ebNm3im2++STLwpa6urubZs2c5YMAAXnvttTxx4gRnzpzJwsJCVlRUsKioiJ06dWJBQQE/+OCDVse47bbb6Ha7mZqaSoNWy63DhrF7Xh6dTiftdjs7duzIxsZGkmRRURG1Wm1AeEKSaALYAjAJoFGn43XXXccrr7ySNputVbnJpRb5c6WBulpNi0rF2JBSHHmcTIxiyLo+7dsrZBnqmpYu0UsVALt163ZJSchQEhdCjmcymZQHADFI3sIlXLA9AbrVauXcEhFIipJJMdS1LARJM/S4oeU/ra4bAUEIIfgAIo+Rk7rOnDlDq9VKURT51Vdfsb6+nllZWXzwwQe5evVqaiSJXpwvIXJZLBw0aBBTU1OVObBx40aKwQcklUpFvV6vuKNNJhNNJhOLi4up1WqV+ZKens7Dhw/zrrvu4mWXXcaMjAzle9KxY8dW3XZkfP3111yzZs3fPf+3b9/eqhm8z+djcnKy8l6OR5PkTz/9xMcee4wkefToUWX9xo0bOW3aNDqdTiXBr7i4mNu2bWN0dHSr461atYp9+vRhcnIyz5w5w4ceeojz5s3j6dOn6fF4uGnTJqampvLgwYNs27YtdTod09PTKYqicg9EUWRCQgKNRiMzMjK4ceNG5uTkMC4uTvkNSk5OZkpKSqtjjxs3TrnW0aNH8/HHHydJFhYWKq9l3HDDDbz++ut5/fXXc8eOHcr6P/zhD9ywYcNF97F///7s3r07e/fuzS5dupAkCwoKmJWVpZz3O++889f+Hf9zCJPs34jVq1fzuuuuU9536dKF+/fvv2hcr169lAJ6WWBeRmjXFpIcPHgwV65cyb179/Lll1/mggULuGDBAs6bN4/ff/89P/74Y1ZVVf1q13Dw4EE2NjZy8uTJXLRoEY8fP86ZM2eSJDMyMpR2YiS5bNkyNjU18fTp00pz7IqKCj7xxBPMzMxkbm4uc3NzabVamZ6eTr1eH0jMCf6wa3BxqzV5zIXEJAK0hZBH6Bi1Ws2UlBSqBIERP0NsF+5LXkIJ6OfGmy+xz0uR2C8t8jUDF8c/f8nqDSXaRL2+VTw1tAG9rKQkvzeidd3sRfsMud6/5zrk+y0Te+jDjRA8rrx/j8fD2267jatXr+bChQuVscnJyUxMTGRsbCzVajXbtm1Li8XCyy67jGVlZYo3I7Txg/ygpNfrmZmZyZKSEgqC0ConYO7cuczOzubs2bP52GOPMSEhoZUXxuFwcPPmzZec90888QQLCgro8/n44YcfKh2NZIKxWCwcOXIkP/zwQzY3N/OWW25hS0sLBw8ezG3btvGRRx5hdHQ0XS4XJUliZmYmy8rKaLFYWFBQQJ1Ox5kzZ9Ln83H27NmB+apSKXXckiRRH/z/CoJAp9NJvV7Pzz77jG3btlW8FUJQ51rWui4uLmbHjh1ZXl7OYcOGcebMmSwqKmJkZCT79evH6Oho6vV69uvXT1leffVVjh8/niS5c+dO/vDDD1yyZAm7det20X1JTExkTU0NvV4vly5dyujoaIUs5cVoNCrje/fuzcOHD7O+vp5lZWX87LPPKEkSDx8+TJ/Px6SkJMWKDuM8wiT7VyD3svw5+Hy+Vq6V3r17/6wla7VaW21bVVXFlStX8siRI1y+fDlXrlzJlStXctmyZTxw4MDPys79I2hoaOCRI0d4zTXX0Ol0Misrq9WPlFqtZps2bbhnzx6S5Jw5c7h//37Onz+fffv2JRkg2eLiYhYWFnLr1q0kA6UWW7Zs4cSJE2m1WtkpOprZAMcBXBD8cXa73Yr7NzExUVFpCpXfCyW2X7JcZSKTgq/l5CgAdGm17ITzLmGZEGT5QCHo6nQ6nczMzKRJFGnEeevzlwhJPoYoikxKSgpYu5LEiIgIGoIZvgpBS5JybaIoUnMBWYUSrtvtJgAOGDBAUYL6JVLWqdWMCSVFUVSSxORynb91CSU4+V663W6q1WpaLJZA1rVKRR1AO8BBKhXToqPZqVMnqtVqer1eduvWrdU+//znPzM2NlZJKHMES3rS0tLYuXNn/vTTTxw7dqwiWCGXacmv7Xa7ok7V0tKifMfi4uIIgHv37uVTTz3FO+64gx9++CGXLl3KpUuXskuXLty2bdtF1tbq1atpMBio1+vpcDhYUlKitOJ76623+M033zA2NpZ/+ctfuGrVKhYWFrKsrIwTJ07ksmXL+Mwzz3DevHmMiYnhH//4R1qtVv7xj39Uvg87d+5kWloafT4f6+vraTAYaLFYWFxczNtuu40ajYY2m42dOnViWVkZJUlSMsDz8/Npt9sVsRKz2cz4+HgaDAba7XZ269aN5eXljI+PV6xqrVbL/Px87tmzhz6fj42NjUrXKEmS6PV6LxkKCn0YkZGens5vvvmG1157LdetW8fHHntM6YIkY8CAAcrrXr16KSRbUlLCtm3b8rHHHuO9997LWbNmhd3GP4Mwyf4VrFixgiUlJSwvL2dFRQXT0tJaEWfHjh05b948ZXyPHj24bNkyfvfdd3ziiSc4pndvfjd8OL979lnGx8e32ndVVRXnz5/PgoICdujQgaWlpcqSm5vLJUuW/Goku2LFCoUs+/fvz7179/KNN97gvHnz2NTU1Crbs6WlhfHx8Tx06BAfeOABjhs3jiQVnd5QyCR70003saKigh0yMviYJPF+gHcFiWb06NGcOnWqUpohCAIff/xxGgwGRUZRKwhMdToVl6MoikxOTuYHH3ygZOOKv0A+QCBeqANYFkK0Go2mVQmNTHxSsP40AgF94WxBYEp0NCVJ4qdTp7JMEGhDoD70mVGjOG/ePGZlZfG+++5TynMqKyuZmZnJyMjIAOEJAjtmZnLkyJFMSEigRqNhcnIyY51O9gx2CdIBjLRaFXftgAED+MQTT7Cqqopjx45Vmq6rBYHO4HmHusOtVis1wXMXgpZnRUUFBUFgx44dAw8bLpdSohN6b2QtZPnBY9q0adRqtezfv7+iiTxhwgS63W7GxcUp/4tQFztwPiP7/fffZ3l5easHEZfLFeh3G/JgIYoizWYzU1NTmZ+fT41Go5RLyRaeVqul2Wxm27Zt2bZtW2o0GmWOPf7449QGs5aLi4upVquZnJxMr9dLrVbLQYMG8cknn+SxY8cusrY+/fRTiqLI559/nqNHj2ZSUhKPHTvGZ555hvHx8Xz44Yf5yiuvKPO+sbGREydO5EsvvUS/38+dO3cyLy+PdrudJSUltNvtLCsrY2lpKZ1Op1LSpdfr+ac//Yler5ddu3bloEGDFBlRj8fDrKwser1eAoGfXJvNxr0vvECDJPGKwkIlTi5by0BAXcxms9HhcHDDhg287rrrFJI2m82MjY1lRkYGS0pKWFZWRgB89tln2dDQcL4Eb8kScswYcskSNjU10eFw0G63kwyQ7JQpU5SQUZs2bVq5fouKilp91++8807m5uYyNjaWo0aNUkr6+vTpw9LSUvp8PpIBN7us7kYGckIuLAn8X0KYZP8GvPXWW5w/fz5J8sUXX1RcwM8+++xFCRvvv/8+X3zxRb744ou8qUcP9lGp+CLAFzUavhgiGUeet2RJ8o033uCjjz7Ku+++m0uXLiX58wLq/wjuvfdevvzyyyQDcZSGhgb+8MMPfO2113jo0CEWFhYqX5IPP/xQEQiQW8Xt2bNHIVm5/2hBQQFtNhuzs7PpcDjocDgCVqpez0kFBRzTuzdFUWRGRgZdLhfz8/P5yCOPKNaLTqejXq+n2WxmZmYmR0RG0qRWM8JiUWJ8JpOJOp2ObrebBq2WoiDQajBwxowZNBqNdAWTnGTdY1EQmKxSMTLoepVddXa7nYIgMCsri8OHD+cf/vAH+v1+PnbttcxxOJgaHa0QmdlsVhqqy8QuE6lMPH+LpajVapmYmMiYmBgatFrqRJGWEPnEhIQE6nQ6xYLVhljERqNRcZvLNcMAlL+WIHHq9XqFXM+dO0cAgdpWuSYWoDF4vrL1KC+hcV4gUJP7S96DC63gC7cXAJpUKsY4HMpnDoeDFouF7dq145133smsrCylSYIkSRw8eDCjo6Np1Go5OiuLiyZM4Ntvv02Px8OWlhbu3buXNpuN99xzD3v06MHvn3uOkkrFkvR0JiQk0GKxMDMzkx06dGCbNm142WWXXdLa8ng8nDBhAu+77z6S5H333cexY8eyoqKCW7ZsUb4nZ86cYVpaGrds2cKsrCxOmDCBt11xBedXVnJwkLRnz57dKgxUUFBALlnChtGjaTEYeNNNN1Gn0yl11UOGDOHQoUOV1oirVq2i1+nkdrWaFQCTAerVakZERDA1NZVqtZqFhYUEwIEDB3LSVVdxaGoqF02YwOjoaJ44cYKbNm3i5MmTGRERwcrKSs6YMYOxsbGMiIhQEvREBMIKsqdmw6OPcu/evYyLiyMZIFmj0ciSkhI2Njayb9++yu8RSfr9fsVl73K5OH/+fD788MPMzMxkQ0MDZ8yYwaqqKj7wwAOcNWsWx4wZw1tvvZUjRozgoEGDlP306tWLzz///K/yO/ZbRJhk/wbU1tayZ8+ePHr0qEKyW7duZVlZGevq6pQxpaWlreIZmXY7vQAr5CUmhqWlpTxw4ADJ1iR766238pNPPlFItqam5lcjWb/fz5SUFB45coRkgDjlpC05ccvhcCjZ0506deKCBQu4atUqVlRU8Pvvv2e7du0YFRXFzz77jK+88gpHjRrFM2fOMD8/n4mJiUpTcLmBuhybk3WC9Xo9hw0bxoceekixyCorKxU3oeyWDLWK5NifIAgsLS1lYmLiz5JAVFQUk6KieJUgMA2gO7g+OTmZbrf7vMUc7PATWnsqk/GFhKFGIItXhUB/WkEQFB3e0HOUgueuCm6jCZJjly5dGBcX16ohQujxUlNTW72XifwfXS4lcvFzLnCXy8UuXbooJG5Qqykh4AX4syTRZTYHBDqC60cD/F3I9jExMbz22msZFRXF3NxchYgdwc9tIRnM8nnJDw56vZ5FRUXnvQpBQpCCpCCLf3z55ZfMzMzkrbfeyq1bt7I8I4O7NRp6AP5eFDmqc2clOfDGG2/kRx99xP79+zMxMZFOp5Ndu3blpEmTOGLECOp0Otrtdv7ud79jVVUVo6Oj+cgjj/Cuu+6i0+lk7969OWHCBLZr145ZWVnMy8tjeXk5e6WkcIggMBKBBy510MtiMBjocrlot9upUanYIEk8+Qv/Gzk2K7viNYLAQQBfx/l8hAvnCACaVSqmAiwAmH+J/cmWdGJiIrOyspidnc3U1FTecsstLHW52A7gTIBHAb6g1bJdu3a02Wz89ttvmZ6ezpiYGI4YMYIzZsxQVNQ6dOhAvV7PiooKDh06lGQgOSw/P5+PPfYY7XY7H3vsMa5bt46dO3dWfu/Ky8v58ccf8+TJkxw2bBhra2t56NAhZmRkKGG1/8X+v+E62V/AV199hVtvvRVGo1FZd/jwYTQ2NiIhIQEkIQgC6uvrMW3aNFRUVECj0eDs2bPo0aMHunu98C9ahFXNzXgEQPaCBdBedRU0Gg0EQcDVV1+NG264AQ6HAyNHjsS6detw//33o6GhAZ9//jl69uyJAwcO4JVXXvmnruPrr7/Grbfeir/85S+X/GzatGkoLi7G5MmTcerUKdxwww2YPXs2+vXrhxkzZqC0tBQ1NTV4+umnsXz5cmzbtg1nzpzBRx99hLvvvhtffPEFrrnmGqSkpMDpdGLq1KmIj4+HyWTCpk2bYLfbodPpYDAY0L9/f7zwwguIjY3F8OHDMW/ePOzatQui34/mlhZYAZgR0CkGAJVKBZKQJEmpAxUEAS+++CImT56M559/Hv379wcA6AUBQnMzLABOA6gDMGDgQKhUKixfvhwPP/ww4uPjsXbtWnz77bfIzc3FU089haKiIiQmJqK2thaff/45cnNzkX3kCH7YvBmpAGYC0EoSDDYb5s2bh+eff17pZ1pfX4+FJSXo+u676IJALepBhwM/BeuO3W43du3aBb1ej5iYGDQ0NKCmpgb19fUoLi7Gli1bYDQaccMNNyAmJgb3338/2rVrh+joaOzduxc7d+5EdXU10tPTsX37dnSKisL2Q4dQDOB9AF2jonDS48GmTZuQkJCA3bt3t/r/ighoIwOAJAjwCwL8fj8sFgtEUcSpU6cgiiIcJKr9fugBqIL3zn/BPlTBdREREYiIiEBzczP279+P5uZm+P1+qADYAdgAnJUkHGtpgU6ng9FoRFNTE86dOwez2YyGhgaIoojmoF5zZFMTGv1+aAHcAaDRZMJL0dEQBAE+nw9+vx8HDx6EtqUFHgC7AGQAaJQk7CNRWlqKAwcO4Pjx40hISIDFYsHx48fRpk0bRR+5ubkZGo0GdrsdtbW1iI6ORl1dHQRBQFpaGg4dOoSMjAx8/vnnqK2thdfrRX5+Pixr12LuTz9hLIAPAORHReHHmBjU19cjJycHjY2N+OT993GupQUVAKoBVGZm4jO1WtHflnvxxsfH4+jRo8jLy8PB77/HlpMnUVFfD5tKBWuHDvj25EmMGDECTzzxBO677z788MMP+PDVV/H8mTPoCmA2gIeMRuw4cgT79u3DlVdeiaFDh+LOO+9EbW0tMjIyFF3q+vp66DUaNPl8iAXgUamw12ZDi1qNuro6SJKE2tpaaLVaREdHY8SIEVi/fj2+//57rFu3Du3bt8e3334LtVoNQRAQGxuLqKgoDBs2DC+//DK2bt2KJUuW4LrrrsOxY8cgiiIGDhyofN8B4NChQ9BoNIiIiAAQqMm+5ZZbcMMNN/ztP17/DfiPUvxvEKHu4kvhiy++YPv27bl06dJAdvHQofxu+HC6jEZ6vd5WSjayJTt+/HglZX7Xrl189NFHOWfOHC5ZsoQjRoz4Vc47NFMzFEeOHOGSJUsUV3EoLrWODHRBGTlyJPPy8pSU/Y0bNzImJoaxsf+fve8Oj7JM17/nm95bJpPJZJJJ75OEkIQEklCkhaoCFggiKogoCAhKUVgRAUUQERQs6KqLCoiwcEBwBcsiig0WBemIhiYIgZCe+/fHzPeaAO66Z9lzfuccnuuaCzJ9vvnmfd7nee4Sxeuvv56bNm0S91+6dOll/L61a9dyxYoV/OKLL9i7d29Wvf02z+n1JMDOAFvHx7OhoYELFiwQj92+fTu7d+/OrKwsHjp0SDyX0Wjk7Nmz+dHjj3M4grq+uZJEjUpFi8XCnj17cv369bz55pt58803s7CwkLNmzeJDDz3ELl26sH///ly+fDlnz55Nv9/Prl278vUxYzhQoWAUfrXYu+mmmzhs2DDeeOONYi4bHh7O4rQ0vqBQsA/APIWCaT4fXS4XPR4P09PTOX78eL711ltcunQp+/bty+LiYiYmJnLPnj1Uq9Xs06cPy8rKmJmZyaysLFosFioUCno8Hk6aNKlFS1mv0dCMYLsYAO0hIIxMeSkpKRFtZ5VSKboDGoBtQpKVBoOBX3/9NY8ePcqIiIjgjDElhWWSxAEA5ymVjLDb6fP5mODxMAGgE8F5skap5Pz58xkREUGPx0Oz2czCwkJKCgUHh459kkJBbYjPbLfbqdPpaDQamZSURI/Hw8jISJrNZuGZm+bzMSz0HvUAfWFhzMzMFLS4qVOnMhAI8NMnnuAZvZ6RABep1SzLzWV1dTWbmpq4YMECvvrqq8zJyeEHH3zA2NhYPvroo1yzZg39fj8NBgPj4uJot9s5evRoLliwgM899xwjIyM5fvx47t69m2fPnuWaNWtYXl7O++67j2FhYdSqVGK+L4Ptml/69u1LtVLJNgoFPQgisAOh2atcwWu1WkZGRrKoqEjoaCclJZGrV7PxnnsY63YLFa7mimdGo5FKSeImrZZEEDdQnJbGw4cP8/jx48zIyBA857Zt29JgMHDnzp08f/48S0tLuX37drZNTeXoQIBcvZrFxcX8+OOPGRMTw+HDhzM8PJx6vV7MxaOiouh2u1n91ltMttnYKy+PSUlJTE5OpkqlYm5uLufMmUOn08nk5GR27tyZCQkJAiw1bty4Fu3mqVOn8oUXXvh7y9L/ibiWZP/J+K0ke+LECWZlZbFdu3ZixvPGG29wypQpJIPtYHnBkWHuAwYMYGZm5mWwefkSFhbGwsJC7tmz56q1WbZu3covv/zyH96vqamJPXv25Lhx4wQlQI7ly5dz9OjR3LVrF5uamlogFufNm8esrKwWSfbll1/m5MmTOXbsWH722WecPn06FyxYQDLIz01JSeHRo0eZExfHppEjGREC/GRnZzM6Opper5dJSUlMSUnhddddR6fTycTERH799dfCaq1bt25MSUmhW6ViWUwMuXo1IyIiBCAoEAiI9qTQAG7WmjMYDIyNjaXZbKbf72diYiLvKC5uAbSSJRLdbjejoqJazHBliotaklogi+VWt91up9PppMPhYF5eHlNSUvj+++8zOjqaDodDAHX8fj8VCgXNZjMlSWJGRsbvbhdfiR7V/CIDypRKJT/99FOeP3++xVxVGdI4lv+WP58GYHGz6+R26aWtTQVAjSRR1ez4yiIazfnMKSkpNJvNLd63WqkMgrNCfsFRUVH0er10u93MysqiRqOh1Wqlx26nFNpsqNVq+v1+MZudNWsWc3NzuWnTJkqSxI8++ogkaTKZGAgEOHHiRMFbjouLY0FBgaAqTZ48mSS5ceNGDho0iCQ5d+5ctmrVii/fdx/DdDrajEZqtVpBXzOZTDQajfR4PLytQwfaNBq2z8jgE088ISwPEWqT63Q6Pvfcc4yOjqbRaKTBYGC3bt04f/58mkwm/uEPf+COHTvYs2dPpqSkUJIknjlzOHEEGwAAIABJREFUhmazmfuff563p6QwIzqajz76KAOBAIuKimi1Wvncc88Jq0gZc1BYWChGNgaDgZ07d2Z5eTldLhdPnTrF2NhYPv/883Q4HPR6vVyzZg07d+5Mm83GPKeTF0KbpTqNhmP79OG6devEOe92u2mz2bhw4UKSbEH78Xq9/OCDD8Tv/kpJ9rc27v+b41qS/SdjwYIFfOihh6542+7du1v8/corr3DChAkkgyfck08+yZKSEt5///0kgyjfnJwcjhkzpoWalBy33norCwsL2blzZ7755pskyUWLFgn6zGeffUaPx8OqqirW1tYyOztbEOWrq6t58eJFPv/880xLS2NOTg7T0tJosVhoMpnYtm1bFhUVMRAIcMOGDeI1Fy5cyB49etBms1GtVosFweVy0eVyMSsri9HR0TSZTLTZbAK5+1vC980Xa6fTSZ/PJ5CUMpIWAKOiosSOX/Z0lRdmeXaqVCqZnJwskpDH42kxG/2t5BIeHt5iLmo0GqlSqej3+ylJEv1+P1euXMm8vDzhpxoeHs4//elPf3fGJv/fY7cH1ZB+ZzKUea9yUmyuJWy1WqnT6ZiUlMRu3boFQVihxGg2m/n+++8zwWKhEmArgJNCz6nX61t8FwBEwgbAuLg4ut1uJiUlUaFQMDc3t8WM22KxCIS7TCuSQuYEeoCRCFb00SGUMAC2bt36smPRPAnLz6HX61lQUHAZyrs5alr+v8vlYllZGQOBACMiImgwGGgMJbfmSPFLX0cGmcmzSvn8khNWUVERf/nlF/p8PqrVagGqk8+thIQEtm3blmlpaYyIiODevXvpcDio1+v5yCOPMBAI8I477mB4eLgw2jCZTHzggQf45ptvisrc5/OJ81L+XADo8Xio1WrpdDo5atQoKhQKvvfee3Q4HFc8dy8TFQltkAoKClhQUECFQsHY2FhOmzaNxcXFPHjwIBUKBXfs2MFffvlFeCDrdDp27NiRL7zwAr1eL48cOcKcnBzu2rVLJNmDBw8yPDycrVq14ua+fUmAwwFmAfRIEh9++GGGhYVx/vz5XLVqFcvLy8V6kZqaKpDDfr9fgNDatm1Lh8Mh/ITl9SY3N/c3KZGyr/A/ClmN7n9KXEuyVzm2b9/OAQMGCA6bnPimTp3KefPm8cyZM0xLS+O8efP47LPPimrF7XazuLi4BX/V4/EwNjaWLpeLBoOB9fX1fP/99wUfbebMmdTpdNy0aRPXrVtHvV4voPMpKSlMSEigRqMRlAmDwSDkDJOTk5mcnMzExETqdDqhPGW1Wpmamsrs7Gzm5OSIBaNr166MiYkhSb766qu899572b17dx49epRJSUls06YNX3/9dXFfs9lMl8vFhQsXsl27dszOzmZNTQ2/+uorxsXFMTMzkxqNhiqVii6Xi3379uXNN99Mk8kknGycTieVSiUDgQDT09NpMBiYmpoqFvgff/xRtMvmzp1LAMzJyeHLL7/MTZs28ZlnnhEiGDfccAMBMDc3VyTx5gAmt9vNQCBAn88nNhGyWL+chOQFz2QyCZ6oRqNhR6+XCQA9CALczCHwFwChWiVXwpIksX379mxqahJUG4fDwbKyMrZt25YnT568zFSgOUe3OVhLDdDfbBG+lCfb/L7Z2dnCHUihUDA7O1tsdsxms0hklwLARLXZ7L3In03e3DQXloiNjaXb7abX66VarWZZWRmjoqLo8XgYCAQE7aW56b28yZD/ttlswjjC5/OJFquMjpY/V05ODjMyMuhyucRzyJ9brVbT6/WK6+TjJ5vKyy1Ws9lMg8HAF198kSQZCAREdRoZGXnZJk9O4ps2bWJOTg7VarVoh8uv7XQ6GRUVRbvdLs6bW265hePHj+frr7/Orl27MjIyUvCADQYDVSoVyeBmfMmSJXzjjTeo1+uFEMzdd98tELtTpkwhADY2NrKyspLp6elCMcpsNotOQVFREbVaLceNG8empiZWVFRw/fr1LVTkmqtd9enThzajkRf0eq5CsHW/54knOHDgQALg4MGDWV5ezri4OJJkbW0tc3JyWFhYKGhN+fn5XLFiBauqqujxeGixWOjz+bh7925GRkYyMjKyBW83NTWVmZmZXLVqFV988cUWQjeyKIfVahUdjaysLGZkZPCDDz64YrKuqKjgtm3bSAYpWdXV1b977a6qqhLfydWMa0n2Ksfbb7/NmJgYZmZmMjc3l5IkMRAI0OPxCEm0zMxMwdV85513OGTIEGZkZAiyvDxvnD9/PhctWsSGhgZ+/fXXLVrJAwcOZPfu3en3+/n4449z2rRpYldKkg6Hg+fOnWNycjK/++47fv755yQpkr0cZ8+epclkEspT4eHhtNlsTEpKYkJCAsPDwylJEl0uF61WK5988klOmTKFtbW1zMvLY15enuA4+v1+AmBKSgqNRiNtNptYvL1eLxMSEsQiLicFpVIpKiN50Y+IiBCtdXnhDQ8PF7rF8mLXnPLyj6rNK10n+LKhBfrUqVNCtGDatGl0u90CwSlXPnJCNpvNjIyMpNVqZXn79owHOBRguSRRp1bTZrPRYrEwJiaGOp2Offr04Zw5c4SP7h//+EfqdDpGRUWxdevWYrb5wgsvCLS2JEkMCwsTlJzZs2cLmhTQUmnqSsmx+XVmlYo2o5G33HILlUolly9fzpdeeokul4uSJFGrVjPZZqPbZgvOIrVaRkVFcciQIfTq9fzR6aQ6lHDkhCIfy8cee0wkYpvRSLfbzZkzZzI6OpojRoxgSUmJqDplikpWbCzD9XpKodlzaWkp7XY7lUolExIS2KZNGwJBLvKtt97KNm3aMDs2lpEGg5CtnD9/Pu12O8PDwwVaW5IkSoqgfGViZKRItO+++y6feOIJ+v1+JiUl8euvv+bu3buZlZVFtVodlDJNTWUbt5v9Q+1XkuzQoYPg2ZJBXd9Ro0Zxzpw5fPTRR2kwGNi4ahWn5uXRYjDwrrvu4htvvEGbzUabzcaioiKqQtiA1NRUlpSUMDExkWFhYTTqdOTIkXSEuhUk2aVLFxYXFzM+Pl5sXPR6PSMjI5mcnMzS0lIWFxcTCC7d58+fpyRJzMnJEZvBKVOm0GQyMSkpiXq9nhqNhoWFhdRoNLzlllt43333CSW55km2d+/eQV/h1au5vmdPGrVafvPNN5w/fz4VCgWnTp1Kp9NJtVrNBx98kLW1tVfUb29oaGC/fv344IMPcvPmzbRarVy7di1nz57NRYsWkQxiRF566SUqlUoxDvj55585depUjhw5kiNHjhQdqKioKObm5orr58yZw0OHDrFTp04sKytjjx492L59e+ENbbVa2aNHD3bv3p2tW7cWm4p/JGPrdDrZunXrqzqeI68l2aseixcvbqGSEhsby4MHD7ZIbqtWrRLQe39YGJ06HTUhPqfFYmFmZiZff/11vvrqq3zssce4atUqfvjhhzx69KiYv5x67TVaNRpOaPZanTp14jvvvMOamhqGhYWRJLdt28alS5cKcQeTTkerRsOk0AK0Zs2aFspTXq+X/fv354YNG7hh6lSWJyczLCQ7l5SUxLlz54qZ9Lhx45gU8jktLy/nokWLggtDKAm63W5qNBr6/X5euHCB27Zto8fjod1uZ6dOnThgwAA6HA4WJCUx0mCgUatljx49qFQqmZ+fz3nz5jE9PT2YUCWJuS4XDaG2oFzZyFWfrKrkdTjo9/vZt29fdu7cmQqFggkJCYIn2zkri7rQDNDj8YhKRL4Al88mf89FeYWE/lsXg0YTpPuE2sBy0grExFB9iVVei8oUQUMAfUjj+DoEqR3WUEv177XMxSaj2QZD3kDJyVqSE3ez57khK4txAGtCt1tCi57D4WBkZCTj4uIYZjZTCfB9gH0kiXFuN+fMmUOVSsX33nuPZWVlTEhIoMfjYVlZGR1GI+0ARyFI2bEZDExLS2NUVBSdTieHDRvGYcOGUaVS0efzBW9zOOgFmICgrrMC4NChQwmAqampNBqN7Nu3LyWFgn9VKtkqtOlJczoZHR3NvLw89urVi3l5eXS5XAwLC2NBQQE7dOhAo9HIV/v1Y61KRQKsVam4sGtXDhw4UCiKud1ulpSUiISgVqvp8XjYy2jkFkCoYjmbqX3Jm0OPxyOEJTIzMxkZGcmy5GTmKhQkgrQpBcBVq1YxEAiIrgMQpLqlp6ezpKSES0eNIkeOZP0771CpVLKxsZGzZ88mAI4aNYpAcOzy3nvvcevWrRw6dCgnTpzIIUOG8O2336bb7abdbue7774rqIEul0vIqbZv355KpZK5ubliwyyrTwFgq1atmJiYKFSn5O5YSUkJhw8fzuHDh7Nnz550Op3s16+fqAqvu+66FrSnxMREDh8+nK+99hqdTid/+uknduzYUXRxMjIyhAqdx+NhXFwcPR4PW7duzdTUVOp0OkGDlEU/5E2pTNGTf1fR0dGCjpScnMzNmzdz2bJlbNOmzWUytrfeeivbtm3LUaNGceXKlVctJ1xLslc5Ro4cKUAU5K+Jr3mS/eKLLzhz5kzmxsTwokLBTxH0B51VVMTw8HAheJCXl0efz0dlKCH06NGDTqeTs4qKuFWppAlBjp1JraZer2diYiJTUlLYoUMH2u129u/fn/3796fX66VKpWK02UxzaDEoAOgzmZiYmCgWIbvdLmZj8qLbvGKS24OxsbHs168fCwoK6PV6g7M7i4VZTidNAG8BGAXQFpo7RkZGMj09/YrVpTL0WpdWmxqNRmi86iSJKQAfQVBrONFqFe1cpVJJQ8hkQAFwEH5t18ozT/nHKieYjNDnkROax+Np0aJNDFVlMm/Tjsv5plcCGdlD/2pD1falYg2XJrpLLxkAo3Hl2a7iCterEVSs+j2VvC6UoMyh7zAiIoLJyclUq9W0ApwKkAC7AIxSKmmxWBgZGckSk4nxodsIsH2oVS6fC1KII2wKvYYPYERoXup0Opmeni4WQCDYas/T6ahHsLUeDdAhSUxKSqLD4aDBYGBERESL1qxGo6FZoaA9lGBdoeORn5/fAv2qVqupUiioRrB1DwSVswoLC5mUlMTi4mKGhYWJdr+8SQPAKK2WuQAHhj7nzlC3KDY2ln6/n7GxsZwxYwa3bdvGhIQE9u7dm0eOHGHV0KFcC3A+gp66b3fowPT0dI4ePZqpqamMioriwIEDed1113HixIkcO3Ys1Wo1J/r94pjegyC4TP6sJpNJJFl53GHW6ZioUNALMCX0vY4aNYpJSUmMDPHv5XPO4XCIboTFYqHVamV2djY1Gg1nzJjRgn9/88030+fzMTExUfCYT58+zVWrVlGj0bB3797s3LkzlUolP//8cwYCAdHFkUcrGo2GsbGxTEhIYFRUFJ977jnW1NTwxx9/ZEFBATdu3Mhjx44JsGBqair9fj+XLVtGp9PJxYsX85lnnmFTUxPj4uLodDpbKILJ83g54cvcXTJY+cfHx/Opp55iYmIis7OzOXDgQPbq1Ys+n48Oh4MfffQRV69ezezsbG7evJnr1q1j586duXnzZvbs2ZOJiYnMzMykw+GgyWRiTk4O09PTr9rc95pZ4VWOzZs3o6CgAADQtWtXfPHFF7j77rvx7rvv4pVXXkF2djb69euH999/HweOH0d3EvcAqAHwzu7dOH/+PIxGIyIiItC3b19EREQgEAggOTkZZWVlqKmpwcs7d+KpxkbUAzgIYGh0NFq1aoX+/fvj3LlzSE1NhUqlws6dO/Htt99Cp9NBrVYjQqWChCDfsQOAdW3aYOrUqYiOjkb37t2xaNEiFBUVITMzE3fExmIcgpzHTAC9PB7069cPer0eKSkpGDBgACoqKqBSqSBJEtq3b4+a2lrUIcgnrABwLsRxPHHiBE6cOAGtVgutVguNRgNJkqDVavFWQQHiAZQD8AGYkZ6OLl26QKVSobKyEtXV1ahpasIeANMBnAew/9w5XLhwQXi0NjY24iKCq+qbAGoaGhARERHkbkoSwsPDgdDtALAbQb6nQ6kEAPj9ftTX18NkMiFCo4EtdLseQHjoMfXNvmNJkmA2myFJEkwmE+QfUV3o2NaHOLL19b8+SuYbAkEuaFbovgoAZrMZkXo9fgy9rg+APvTe5JDfu3ytBkAqgLBm91GELuIxIQq8BkBD6FzpkJsLt9sNr9eL7777DhaLBTQY8LVCgU8BfALgjEqFhQsXYs6cOdjR2IhqAFsABBQK7FYqkZqaKniTCQkJUGg0MAJwAOigVKLWYMCkSZNQUVGBXbt2ITMzE5s2bUIgEEC/fv1QYTDABqAHgOMAzjQ14cCBAzAajXA4HHC5XMjMzER+fj6ysrIwevRotM3ORrok4REARZIEnUaDlStX4pZbbsG0adMwbNgw+Hw+uGw2KABEho5FSnQ0vv32W1RUVGD8+PEYP348oqOjYTQaER4ejh9//BEkcfTtt7FCp8M+ADAYcL57d3zwwQdQqVRYv3496uvrUVdXh08++QQ+nw87d+7Etm3bkP/++5ghSXgbwF8APLJvH44dO4bt27dj//79OHbsGFasWIF9+/Zh69at+OSTT9DQ0ICBY8cCBgNOAvhJkkClEjU1NYiNjcXGjRtxww03wG63Y/jw4WjVqhVc9fWYRCIOwAskwiQJ7777LrxeLyorK7Fz505ERUUhEAigbdu2yMvLw4DCQiRqtdBLEg4dOoT6+noUFRUBAA4dOoQ+ffrg9OnTeOGFF7B7925cuHABERERGD58OO644w5xfnfq1Andu3fHSy+9BKPRiPLycjz22GP44YcfcPjwYfj9ftx+++04ffo0lKHztundd+GdORODsrIwYMAAdOnSBVVVVXC5XDAYDKioqBDn6fLly9G7d28oFArMnDkTAwYMgNvtRnh4OBISElCYmIjxmZmoePFFtGrVCnfcccev57xCgVOnTmH58uU4fOgQTu/bhy+3bMGuXbtw+vRpOBwOPPXUU1i8eDH8Wi02jRuHwTffjL/+9a+488478fHHHwd/w5KEG264Aenp6di+fTu2b98uPsu/HFclVV8LkuTBgwep1Wp59uxZkmSvXr34xBNPXOa+s2rVKnbo0IF9CgpIg0FUsidefZU+n48PPvggk5OTeebMGWZkZDA5OZnV1dXctWsXb7jhBm5+7DGmh3iJx/V6Jnu9rK2tZV1dHZOTkwWIo6KigiR57733UqvVMtnrpT5UdTgRFLLPycnhwIEDuWLFCubl5dFisQR3dDodx6hUoipw22ycNm0ajUYjx44dSzKIJhwzZgztdjsrKipo0umYAvCxUFUT5XSyS5cuXLp0KTdv3sxWrVpRq9Vy2LBhop2jlCRKoYpRCVCn0QipuJkzZ9LpdDLMYmF4qPKxIGi35na7uWTJEjqdTnbJyqITv7ZU9b+BcpYvclWqCwFpVCoVIyIigkCa6GjhcGO+QvUoo2WtVuuvUo6SRBXAO0MVVr+iIuFCIz/OrFYH7eZ0OpaGqjoVglzWZK+XSQYDOyNo99dHkui4BCn8ey/Nq+ToUBtarVTSGnovMvgtKSmJnTp1IhCc4zW39lOpVCwuLm4h7aiXJLptNoG+lZ9HpVLRaDQyyuEIKmPZ7VSpVPzkk0+4ePFiHj9+nLm5udy8ebMAvOXn5zMnLo6jAwEO7tCBPXr04OOPP84hQ4awc+fOLCwsZHZ2tgAwRUdHMzU1lV6Hg3atlsmRkdTpdLzjjjs4depUMTuXqzWP3c5WYWFUAExLS6PJZGJkZCRXrlzJNm3asH379oyLi+OYMWNYXFwsuOuHlixhodvN18eMETKhX3zxBUnypZdeEiYaFy5c4K5du4LUndtu47FXXiFHjmT/tm25cuVK9unThwsWLGDHjh0ZGxvLW2+9lV27duXMmTNZWFjI3Nxcbty4kVy9mpV33cVRPXtSqVTyxRdfpNvtZtu2bQX9zGKx0Gg00qzXMzlUpRcqFFQrlezTpw979uwpAIH6kOexWq2mS6GgIfTbTVMoBBeXDMq1WiwWxsXFXTaXVKvVdLlc9Pv9dLlcHDNmDB988EEhydq1a1eOGDFC/L1mzRpRFa9cuZJ+v5/TCwpYFarSLyqVnNWpE/v27SvUwdLS0miz2dipUydqtVq2bduWOTk5HDp0KLOzs0WXwWAw0KbR0Biq9tsADAuhpQcPHszbbruNERERwcpfqaQFwfGJNvQ7kNcYrVbLDI+Ht0gS5wO8TalktMvFfv360e/3i/VywoQJzM3N5ZdffskPP/zwquWFa0n2Ksa9997LIUOGiL/79OnDv/zlLy0SHxlMsvn5+bTb7UyNiqIz1Bqx2+0CeGOz2VhfX8/OnTvzhhtu4E033cSPPvqId911F5999lmqlUr29vtZlJJCi8XCkpISrl69mhs2bKDBYOCSJUtos9n44Ycfct++fSwtLWVVVRV1ajWLIiJ45MUXmZ+fzzFjxoiZ7I4dOxgREcGUlBT26NGDZbm5lBCc+cliBxqNRtCScnNz+cEHH9BoNDI5OZn9+vWj1+HgTQkJNGi1Yu7s8/kYHx9Ps9ncAgEqL/rGUGtMCrUfY2JixI9HIFiVSqrwqw6v1WoVqNIrJRtZCAEItoOLiooYFhZGu8lEf4jXarPZ2KZNG/bp04cJCQlBUQVJEhq+WaG51N9LZM0vut+4/rL3doWZr7JZ8tc3S86y+8x/5hIR0jlWqVRMSUlpcdulCGYAVwSSyaMLjUbDuLg43nfffUxPTxeArubHG/gVvCZ/b3KSbt5el0cSzc3t5YvFYqEzZBQhvx8Z8KbT6cR8U5Ik5ubmMjw8nC+//DLHjRsXlCvUaLh+/XpWV1dTrVZzwIABDA8P58CBA1leXk6VSsUdO3YwNjaW0dHRjImJoSRJYtSi1+sZFxfHr776SmxSyaCx/NChQ+lwONilSxeSQSGXKVOmCARrWVkZ582bxx49erBr167csmUL8/PzuXDhQj744IN8++23aTQaOWfOHI4ZM0Y8tzzSkQUzSHLWrFkCzb9582bm5+dzxqBBjDaZeOTFFwUN57nnnqPX6+WZM2eEnOTrr7/OhhEjaAWYDnA5wJlt2ggE86ZNm+j3+7l582ba7XZhs/nqq69SqVRy3rx5HDduHO12O1977TVOnjxZJFWlUsmRI0dy6dKl3Lt3LyMjI1leXs4RI0YwOjqakiTx6XbtRCucAG0qFUtLS5mYmCi0yPV6PYcOHUqj0cjFixczMzOTjz76qNgoyViJ8NCGWTbEsKhUvP7667l06VIuXbqUXbt2pdvtFnaZ9yE4i081GllQUECr1cqOHTtylMfDKIDPAvwUYIrNxvfff58xMTH0+/00mUycMGECMzMzOXPmTE6cOPGq5YVrSfYqxdatW2kymYSXLBmsZGUNX5mPmZWVRb/fz5iYGC5fvpzbtm3jkiVLGBkZyQEDBnD+/Pns0aMH77//fm7evJnR0dGMj48XqMCJEyfSarWyTZs2JMlTp04JMJQcjzzyiCDYp6amCk9PmbIgz0W8Xq/whH3vvfd41113BWeXil81fi9dFGUQiKwJHBMTQ5VKRbfbzby8PBoMBhYXF9NkMtFisVCv1wsqT3p6uqDPJCQktFiE5aolNTWVYWFhHDt2LCdPnkylUkmXy8UEj4dp+HXuKS++zZ9D5sDKib359f/ZRPXPJNnmCfOffc4rqQn908/RDHBzqYiGXFVfqp8sawnLQCiFQiHoVS02Bs3EJJoff/l5mvNd5X9llaeIiAjOmzdP2Bs2p/DIs3U5Ecu0F5fLxTvuuIPp6emcOXMmjx07xttuu43XXXedsOHLzc3lX/7yF+7du5c7duwQIhNTpkzhxYsXqVKpWFZWxr179zI2NpY5OTmCo+7z+fjss8+SJPfs2cOmpiYeOnRIgPR+K44fP97C4Lx5PPPMM8zMzOSf/vQnkuThw4dptVpZWlrKvLw8qtVqxsXFMSsri6NGjSJJ/u1vfxMzU6/XSyAoXiEfF5liZDQaOX36dJ4+fVrQcGS+qIwQ7t+/P51OZ5C+5/FQh+DGLRWgM2RMQQaTbFxcHDdv3syYmBiuX7+e06dPb6ExLZ9L48aN4+TJkzlnzhxu2bKFarWaY8eO5cyZM/nxxx+zb9++fOyxx/jWW2+xV69enDFjBv80bhxpMJAAt2u11KhUnDdvHvv27csHHniAw4cPp8Vi4cMPPxxEM4fWrEWLFvHRRx9lZmYmMzMz+cknn3B4165UANwKMFeh4I2FhS2Ebm655RZarVbGud3UItih0yIIELzpppuYl5fH7t27s1urVsxXKLgZ4GsaDe0mE+vr6+n1ejls2DCaTCbefvvt9Pl8HDRoED/55JPfufL/47iWZK9C7N69m2FhYXzyySdbXN+1a1chM/bkk0/SZDJx9+7dfOGFF6hWq4XyU01NDR0OB9PS0vjLL79wyJAhvPHGG5mamsp9+/YJSb2MjAx+9913nD17NocPH07yykn2gQceECpNHTp0oNfrpV6vF9zY6OhoYbYu82Rlp5zk5GSWlJQwIyODOp2OycnJDAQCHDx4MP/4xz8yEAjwvvvu45dffsn58+dz7969NJlMPHLkCCsqKpienk6SzMjIoNfr5ZQpU1hVVcUVK1YwJVR1GwwGISKQF7L5kpOlDHqQubIyZUcfqmSlS5KHSqVipN0eVFz6DUpP8+TQnE8pt6Xkis1qtfLNN9/8TVGN35uA/5EoxT9SZhLPpVAIhLT8ebXN6Dvt8GtrPBAI0OFwiNbptm3bqFAEHYvcej3v6d6dSqWSPp+PRUVFjI2NZXp6OiVJottqpVqhYJjFIgRBLCEnJJkTe+mG5bc2LjJvNi4uTtj5HTx4kPX19aKTkZ+fz8OHDzM8PJwWi4XvvPMOJ0yYwKysLBYXF3P8+PHUaDT0+XyiGyJv/CRJEgtiamoqV6xYQTIo0jJ9+nTW1tZyw4YN7N69O3NycsRv4tChQ3z22WcF4rWmpua/XNAtZwB3AAAgAElEQVRg48aNl1m+VVZWcs2aNSwtLSVJJiYm8r333gsyAUwmZmVl0el0MiIiooUnbHR0NJOTk/nOO++IJNu7d286HA7+4Q9/YNu2bTmotJReo5FjevUSXZ3Kykpu2rSJsbGxfPnll0W3QAYYyce3pKSEarWaDz/8MB966CHGxsby9ttvp8ViYWJiIp1OJ2NiYmg2mwVt8O677+bGjRvZ0NDAmhUryJEjeWNhIe+77z7m5uZy2bJlfOmllzh8+HD+9NNPfOONN+h0Onn77bfT4/Fwz549HDRokNgo6/X6oGCMQsE4s5na0KZ6yZIlbGhoYNeuXWm32zl58mQmJSXRrNezc1QUfWFhbN++PTdt2sS0tDR++umn/POf/8zMmBhu7tuXA0tL2atXL544cYIej4czZsxgUlISV6xYQZvNxuTk5KuqTHUtyV6luNIP6NKQ+a8TJ07kyGa2d6dPn2ZYWBhPnTrFRYsWUa1W880332RlZSW/+uorJiYmcurUqezWrRv/9re/MT8/n8uXL2dFRQUnT57M66+//jdf8/Dhw7TZbPzDH/7wm/e5/vrrW2iOkkFituwdu2nTJt50003/4Aj8+rjfisrKSmq1Wi5btoxVVVVicQgEAkxMTOTmzZspSRJbt27NqKgoRkZGUqlU0uv1Miq02HcB+KNOx0n9+lGv19NmNDISv8505cVeXjx8Pp9YEGRy+yuvvCIqeq1WK9pcLperBWrZarXSEko84nlDl+hmiV6+TYegC41Zr+ejjz7KqKiooHiCQiGQzHIl91uJVW7Nyq48PVu3ZuQV7q8MJXNPiDcqt2dbt24txgQGjYZJCgUnAHxAqaTHZqPf72dCQgINBkPwcysULFIoWABwuFJJa4jrmZiYSL/fz3u6dmWuJPG+nj2D7yf0b0ZGBo1GY4v2cHPakRRCBkuSxESPh18NGEC9RiNkRMkgl7t1QgIb77mHbpuNZrOZPp+Pbdu2FZs+2b5t8ODBfPnll7lgwQKuX7+ekydP5rfffkuv18vt27e3OM/Onj3LefPm8Ycffvhd5+x/d8yePZtarZZTpkwRlpoNDQ3cunUrGxsb+fbbb3P37t08efIkv//+e9rtdoH7IIM0HDkSEhLocDgYFRUlNkiy849CoeAov59ru3Sh3Whkenq6QO62a9dOzNnlVr1KpaLT6aTJZBIyjXL3Yd26dZw1axZtNpsYHchCIWq1muvWreORI0doNpu5dOlStm/fnqdOneJDDz3E0aNH89SpUywtLaXVauV3330nhCB69eolmBU//PADP/nkE6rVam7bto0HDhwQ7/f48eM8evQo/X4/6+rq2KVLF3EODh48mJ07d+a8efOYkZEhkmxaWhoTExOD7eVQh8xoNDIjI4Oa0Lnp8Xg4dOjQq/r9Xkuy/w3R1NTE8+fPX/G2ixcv8ty5c+Lv+vp6fvPNN/zll19YUVHB2tpanjhxgiR54cIFPvvssy1mR/+ZqK6u/i/b1cfHx7Nfv35s3749NRoNS0tLhS9sSUmJmBuRFKCq5nJ8CgQBSxqNhv369WOu08n+oaouEqBKEbSeS7Za6bJYOH/+fCqVSkZHRwcpIQoFLaHEINvwuVyuFvPFyxIffm2PKiWJTq2WUaG2d1RUVIs2rcwxleeIV2rf/ha1R35PIpEqFFQiaLenwG+3lBUArZckOaVSSS3AvQCfBDgd4F2h49Yc0ORo9jxmtJwr2wHODB1XH4Ktx0v5u827BAGtlvmhTchnAP1aLV0qFf8A8CH5s4c6FmazOQhSw68tPnuoTTpq1Ci+9tprvPXWWzlo0CDm5eUxIiLiss/dpk0bfv/99/8WlZ7/qvjqq69EB2vdunXs1auXUHBKSEigz+ej3W6nw+Hgrl27eMcdd3DWrFktnmPatGnCalP2dy4tLWVkZCSNRiNLS0uZmZlJKbSZ2okgDcoSGgk5nU4mJCRQrVRSq1RSrVKxf//+jI+P54ABAzh69GjqdDqmpaWJjanf72d2djZtNpuQTPR4PPT7/S0UpY4ePcqSkhLu3r2b586d48MPPyyAZsOGDRMgSjkGDBggCpC//OUvtNlsjI6OFrcfOnSIc+fOZW1tLW+66SbGxsYKvrvJZGJGRobgfwNBP2NZJSolJYULFy7kkiVLWFVVJcZzL730EteuXcs5c+bQYDCwffv2Aqx5NeKa1d21+LdFY2Mjzp8/D5PJBJVKhe3bt2P27NkIBALo0qULbrjhBhw5cgSZmZnIyMjAihUroNPp0KZNGwDAgQMHcOrUKWi1WoSHh+PAgQNISkqCWq1Gu3bt8Pzzz1/xdRUIrsISAI1ajZr6eigQpLJoARgQpI5oNBo0NDTA4XAgKysLe/fuxdGjR6FQKJCRkYED33+Pmro6JADYC0AlSbDa7VAqlVCpVKioqIDH48HJkyeh0WhQU10Nt16PkzU1aArZIColCQ2NjQgA2AkgOTwc1w8dilmzZgH41T7u0vcu/z8CwB8BdA5d53A4UFlZCb1CgQ719agBsDF0X6VKBZVKBYPBgMTERHz22WewAKhF0KrOYbXiQn09IiMjcerUKbhcLujq6/H9kSMAgD+oVPi5Rw88t3EjamtrEWsywVZZid4AZiJIM1MqlWhqaoJSqQSDm3RxUQDQIUh3UiBIG0q2WPBcZSUmAdgOoLXTiWFPPolJkybh4s8/w9nQgB8AzAHwRWQkLmq1uKFvX6BVKwBAXV0d1q5di7Vr12L69OktaBVr1qzBRx999PtOxv+Po6amBjqd7nfdt6GhAQCgUqkuu62urq6F1SZJuFwunD17FmVlZTj82mt4+ttvoUGQMnfcbseWyko0Njaij8OBY2fO4EcAZwAUZmbiRGMjSktLUVZWhi1btiAiIgJTpkzBrbfeiiFDhmDAgAEIBAIwGo0ICwtDdXU1AoEAdu7ciddff/1fPi7nzp3D0qVLceONN8Ln8112+4EDB1BbWwuNRoNnnnkG999/P+6++26MHz8ebdu2xdmzZ3H//fdj7Nix+Pnnn7FlyxbMnj0bSqUSq1evxqRJk/DVV19Bq9Xi8ccfx+uvv441a9bg+eefx9y5c/Hll18iJyfnX/4c15Lstfi3xeHDh1FaWgqtVgsA2L9/P6KioqBQKPDLL7/g/Pnz0Ol0qKurgzrkvwkArVq1wqlTp1BZWYnz588LP1m1Wg2SUKvVqA7xZBsBaFQqJFks2HPuHBoaG9ELwGcAJgJwRUVh6MmTaKtS4ejFi4gA8D2AU/jVq/Yf/QScAE4DUKMlX7Z5mBBMKh4EPUUvIJgsfQB+RMvEqVKrUV9fD4VCAa1CgZqmX9OsXqlETVMTFAoFImw2VJ45gzoEObj5iYnYc+IEzp8/D6vBgPNVVcIrVq1Uwuvz4cSJE4iMjITJZMKhQ4dw7rXXMPbhh7Hq+HGoLBbU1tZCEfKUfeWVV/D0009j/X/8BxQkylq3xsHqanz77bfB46xUor6xEZMAvALghCQBocemp6djwoQJGDJkCFwuF06dOoW1Eydi1owZ2I8gx/iUwYDosDB8euoUHquuxiIArdLTsWXXLuTk5ODg99/jYnU1bgJQBGAGgjzgCEmClJAA2mzYs2cPAoEA9u/fj6FDh0KtVv/6vTiduO+++/7ud/d/LbZu3YrRo0dj6tSpGDFiBPr3749hw4ahuLgYAY8HK/bvh726GjdKEg5ER+NoZSVycnJw7ptv8M3p01AguCHTSRKURiMsFgseeughHDhwAFu2bMH+/ftRWlqKoUOH4vHHH0diYiLS09Px5Zdfwmq1Ii0tDd99992/7IF9teLcuXMwGAwtzhs5fv75Z+F1u2fPHni9XpjNZgDAV199hVahjd6/GtfEKK7Fvy38fj+OHDmCvXv34vvvv0ffvn1x7NgxhIWFYfTo0bDZbKiursamTZvQrl072Gw2SJKEvXv34uLFi6ivr0dTUxNiY2OhUChQW1uLW2+9FYq6OixtahIVYEx4OBJKSpCWng4gKKjgATAFwKTaWjQ0NGB7UxMOAvgcwZO+ICkJVqsVSqUSgwcPxtatW2EwGABAiEbIcQYhkYdQlfinP/0JTz31FDQaDWJiYlBeXg6lRoNaAH4EK1OVJCE3NxdhcXFQIygaYQRg0utRUlICSZKg0+nQEHo/xtBrGQ0G6PV6mEwmpLVqBXtYGCAFf6aHzp5FdXU1JEnCxfp6GPR6aAFICgXMViuOHTuGlStXYufOnSgoKEBTUxMe+eILvPrjjzjf2IhBgwbB6XSirq4OP/30E7p164a1a9cikJWF67p2xV+++w7Hjx8XVVJBYSHUSiX+pFDAqtejiURTUxPsdjtOnjyJefPmAQBOnDgBACibMQNbERQiUUVGoqq2FnsqKtA7Ph7T774b0OlQbTRiwIABOHDgAM7X1CAlOhqvjxyJOzt3xlgAQwCUNTXhTq8X6enp6NOnD9q3bw+n04kPP/wQ77//vrgsWrQIGzduvApn6v/8OHnyJLKzs/Hggw9i6dKlAAC32w2j0YiUlBTcc889OKfRIEOvR+Vdd+Gn+HicbmhAdXU1Ghoa8LNSKTo9TQBqm5pw8eJFREREQKfTYc9HH6G4sRGKxkb0798fU6ZMwffff48///nPePPNN/HTTz9h7dq1qKmp+e88DJeF1Wq9YoIFIBIsAKSkpIgEC+CqJVgAuLzncC2uxVWIS1vFq1evxo4dO/D5558jKysLubm5UKlUOHfuHAKBAOrq6nDu3DnodDpotVoYDAZcuHABOp0OPp8Phw8fhkqlwmuvvQZbUxMm4deWcOOFC1i3bp1QWKqUJFSZzXCq1Uhv3Rqaffuwb98+5CUmYv8PPyA6JgZnSOj1epw9exZ//vOf8emnn4qK1mq14ty5czCbzai5eBESCUmlQpNCAY/Hg8WLF4Mk6urqcO+99+LgwYNolCQ4AZwEUAVAQWLPnj2oq6uDy+FAvFaLj48dg7KuDh999BGamppQXV0NnU6H+tpaVIVeO9znQ0VFBS5cuACtVosahQJt2rXDX//6V5w6dQqSJEGSJBgMhmCVD6CJxC+//ILrrrsOU6ZMQbt27bBs2TJUVVXhlVdegVqtxsmTJ7Fw4ULU1dXhwoULUCgUaGhoQElJCXbv3o1AIID6+npUVVUBCG40tm7dCoaq7N3V1QCCXYOzZ8+ivLwcnTp1wuDBgxEeHo6TJ08CCFbzCoUCB06ehE6nQ21tLbbu24dAQwPO19Tg888/x+effy7Ok10//AD9Sy8BTU1oABADIFaScHN6OrZv2YKff/4Z8fHx+Omnn9DQ0CDaqsePHxfKVXIcO3YMy5Ytw9ixY6/+Cf3/eYSHh+PNN99ESkoKKioqcMMNN+D222/H2bNnAQAkceedd+LOO+/E+vXrEVZRgZnjxmHYsGGIioqC2WzGJ5s3w6FUIisyErtPnsTFixeRnp6O+SNHontdHcYAeBGAdtcu6HQ6PPDAAzh27BiOHDmCkSNHYsOGDb+77f1/Kq7KZPdaXItL4tChQ4yOjmZiYqJwXnE6nYJGJPNxo6KihNi3yWRiZmYmS0pK6HM6aQToMZsF8MntdjMsLIyZMTGMCoFfIgHuXriQ1dXV7Nq1K9VqNXv06MEJEyZw5syZPH78OI1GIwsLC+n1eun3+4VR/Pjx4+l2u3n48GG2b99eAHkyMjL44Ycf0uv10m630263C0CS3W7ntGnTSAaRnIsXL+b8+fOD4hcAHVotFQiK1nfp0qWFwbUqJB7fHPjU3GmosLCQb731FnU6HSMiIjh16lSWlJSwW7dudDgcTExM5IkTJ4QoRCA6mq1DACUNwKzYWBYVFQnPWK1Wy/z8fGF+sGzZMqalpQUVhMxmgWJGCIwlo6vDwsKoUqmCqlWSxEJczv2VhfWBoKiHrC0rc25lmpgkScKiTavV8uabb2ZERITwuu3YsSPJoEdorCRRI0mMdbu5Y8cOJiQksG/fvsINavTo0RwxYgQnT55Mv9/P5OTkFoj+06dPC7NzMojQ/Weszv43xJdffsnExMTLzNLvv/9+LliwgI2NjfT7/Vy1ahUbGhoYExPD9PR0tm7dmg6Hg5MmTWJ+fj6NRiNnzJhBu93Obj4fDyAoLKEC6NLpOGHCBIaHhzM+Pp4RERFMSEig0+lkeHg47XY7V61aRZLs2bMnJUkSVngej4dRUVGMj4+ny+WiWq1mTU3Nf8eh+i+La0n2Wvzb4+6772ZRUZFAMMsL35AhQ5iZmcmamhrW1NRQqVQKy7GoUPKIB5jl81Gj0XD37t10u928cOECZ992G7VKJbUhQfRLfUOjo6N500038dChQ8KHMj4+nm+99RatVitHjhzJXr16CW9ds9kcNCMImafr9XohJi9JkvA31el0YgF56KGHmJiYyHvvvZcajYYOgEvat+eg9u2FfFxOTg6bmpp45swZulwuWiwWDh48mC6XiwUFBezWrRvz8/NZUlLCWbNmcfDgwezWrRuvu+469uzZU9Bd2rZty3379vHbb7+l3+9nTU0ND5eXsyK0+FUDPBWiHlRXV9PtdrO2tpaVlZXcsGEDNRoN6+rquGHDBkZFRbFjx47MyspiQkICA4EA9+3bJ1C6LpeLHTp0YHFxMa0GA58F2B3gw0olb+/YkXV1dezYsSN1Op1IrvIGRalUUqvVUq1W02g00uv1cvDgwTxz5gzvvvtulpaWMiIigosXL6bFYmGfPn1YU1PDVatWEQD79u0r/GctFgu9Xi9tNpswGI+MjBSyfOPGjaNCofhN67KCggK2atXqf5TB978SlZWVLCoq4vLlyy+7bdmyZdSGVNjS09NFYouNjaVOp2OrVq1osVhYXFwsNl6yoIxFr6cO4OoQCtyvVnPixInMzs7m+PHj2bZtWxYXF1MdsniUZRbJIFrYarWyqamJN998s/CFfvbZZ7l+/XpGRET8j0aH/564lmSvxb8U/4gbPH/+fJpMJsbExPDChQusra1lZmYmX3zxRVZWVtLn83HChAlsaGjgxYsX2dTUxO+7dOFDAHsAXAqQzTjFR44c4aOPPsqMjAxef/317NatG0eMGCGoQIFAgH/84x/ZqVMnpqWl8eOPPxaP3bFjB91uN2fNmsXXXnuNrVu3pslk4oEDB3jgwAHqdDqWlZUxJyeHnTt3Zo8ePZiQkCC0c+UKU/aaXLlypajW9BoN3weYBvB7nY6jQjv4rVu3kiTXrVtHAIyJiRGatI888gijoqLo8/n4+OOPc/HixYKfm5aWxnvvvZfTpk3jyy+/zEmTJpEkz5w5wx49egSr49WrWaNU8izAUkmixWDghg0buHfvXgJBU3OtVkubzSb8SkeNGiWkA2XZPL1ez169evGLL77g008/LfjB8jG9R6/nhz4fLRoNo6KiWFRUxIyMDLrdbpFIgaDFYYRGw9L0dN5+++2CV2k2m4WP7aXyisCvXGNZCCE+Pp49e/bk9OnTOX78eF64cIHXX389zWaz8FOOiYkRnqsjRowQ3/Ebb7zBBQsW/MNz9mqKDfxPj4KCAtbX1zM/P5/du3enVqtl69atmZyczA8//DC4SXzjDTaMGMGBpaV85plnGBYWxqKiIo7r2ZNjsrL4eHk5n3/+eUZFRfG2225jU1OToNmo1WqWlJSwuLiYvtCGWf4e1Wr1f/fH/7fHtST7fyS+++47/sd//Mc/9ZiKigo+9dRTf/c+t912G+fOnSv+XrJkifDTraqqYu/evUWblwyaXsuLrCxkcCUNW0WIl2kCqGym+CMLQ8itXLVazblz5/LMmTN0Op1csWIFly9fzkGDBl2mwCWrApFBn91LVYEKCgr47LPPMiMjg19//TU3bdrEqVOncvPmzXz66ad58uTJFupa5eXljIqKYkxMDHvFxDAW4JpQZcmRI7lgwQLm5eWxrq6OR44cYUxMjGjRFhYWMi8vTwjhK5VKodcsCwLIhuJyApIrx6ysLMbExPCWW26hUaPhUKeTOrWaPp+P3377LY8cOUKFQsGRI0fywIEDjI2NJQCmpKRQo9EEq26HQwhwyMe+X79+dLlcjI2NZWJiIu12O+MjIhgGMCf0ffTMy+PMmTMZGxsr5A9bt24tvrMwgEaAyV4v8/PzqVAoGAgE+NZbb3Hw4MFs166d8BPWaDQcMmQIL168yJywMI5PSqIqJHw/c+ZMTp8+na+88gp3797NnJwclpeXc9WqVVy1ahVvuukmDh06lEqlUkgUkuTcuXPZp08fhoeHC4WkSy/yc10LClOR4cOH02Qy8a677uLtt9/OwYMHs6ysjCkpKSwtLeWMGTP42Wef0eFwMC4ujiUlJXQZjUJzWwewNCODWq2WgwcP5sGDB5mTkyMESVatWsVWrVoxLCyM1pBVZWFhIXU63f/6SvYahed/cVRXV2PLli1Qq9XYs2cPVq9ejQkTJqCxsRHHjh3Dq6++Ku77/PPPIyUlpcXjz5w5A5fLhZ9//hl2u13YtzUHNzidTpjNZoHUO336NCorK1FZWQlJklBeXo6//e1vqK6uxs6dOwEEOX59+/bF3r17UVtbi/LycqSkpODjjz/GwoUL8dZbb+Gd2bMRefQonly8GIo+fZCZmQmLxdLi/X3//fdoamqC0+nErl27EB8fj4MHD2L16tXYv38/Hnrood88Nlfi4Gk0Gjz88MN44YUXkJiYiOLiYpBEVlYW5s2bh9WrV+P666/Hhx9+iKamJkydOhV//etfsWnTJjx/zz04+OKLmNzUhAs6HaLfegtlzz+Pb775BufPn8fFixcBQNj9yd+PJEmoqamBVqtFU1MTTCYTKisr4fV6IUkSKioq4HQ6oVQqUV1dDb1ej/r6+hbPeelPWJIkNDU1IT8/HwqFAhcuXMC3334Lp9OJiIgIVFVV4fDhw5AkCWFhYaipqUFKSgo+//xzKBQK8Xwyxai2qSkIMANg1WhgcrlQXV2Nc+fOIS0tDXv27BGgMzeC9CWlWo2LITSyz+fDnXfeiaeffhorVqxAWVkZvF4vOnTogHfffRcWpRKK48cxGMAjAKwGAyxOJ6qqquD3+1FZWYkff/wRDocDCoUC3bt3D9KTzp3D119/jT59+mD//v0C4PX/2PvusKjOdfu19/TKDHXovYM0G01QsaJiiZ3EXo8xavQau0ZNTDRqDLHEhidYEmOMJcaCLVhBjVhRFFFpCtLbDDPz/v5g2FdOknNy7knOvb+cWc/jI+zZ7Nn723vm/d73e9daNTU1EAqFcHBwwIABA7B48WJubEpLS2Ftbf2zDvL/ZDg5OWHDhg1Yu3Yt0tPTceXKFWzZsgVbtmxBWloaunTpgrS0NCxevBgxMTG4ceNG83NTUQGtTgchgHoAMpZFldGIzkFBOBMXh4LwcDiPGweGYRAZGQmGYXDz5k1YWFgAANRqNXJzc1FdXc19Jv6MMHcX/x/B2bNnsWXLFuzbt4/blp6ejqNHj2Lu3LlYtmzZr4ovvA4yiSAAzeT0O3fugM/ng2EY9O7dG7dv3wYRob6+HqNHj8abb74JX19feHl5AWj+gm7xnASAyMhI9O3bF0AzEV6n07XyWkxOTkZkZCSGDRsGAFi/fj0++eQTxMTEICgoCJs3b8bOnTtb8RmNRiNH7TEYDNi2bRtEIhGePHkCABg0aBC++eYbHKurw2qTz6ROp0ODqcO1oqICer0eBoMBDg4O2Lp1K7744gsEBwdz7fr/aO5oYWGBGTNmtNrGMAwGDhyI0NBQbN26FdnZ2RzNqLS0FJ07d8azZ88QExODhoYG3LlzhztWfX092nl5IejxY7jY2+NKv34QbN8OLy8vvP/++/D19cWuXbug0WgwevRoAMDbb7+NwMBAzJ49G6NGjYJGo8HBgwfx6NEjTJ48GU+fPsW1a9fQp08f5OXl4dNPP8WECROgVCoRHh6ODRs24OXLl6iqqsKuXbvw4YcfoqysDLa2tigpKUGvXr1w584deHl5IScnB3379sWjR4/w6NEj7rwNBgMaGxsxbNgw3L59G8uWLYOLiwsWLlyIqqoqhMvlKH/yBHcB9GNZXFQqEde5MzIzM1FeXo67d+/CaDSCARDHsrhnNCKeZXHcYICdRgMigkajAcuy6NmzJyZPngxPT0/8+OOPePr0KVJTU1HW1AQLAEfQTHWaHhSETx48QFJSEsaPH48HDx7gs88+g0AgQHFxMX766SeUlZWhqqoKRqMRSqUSWVlZEAqFWL9+PS5dugQHBwesXr0aQ4YMwYULFxATEwMAXFf0nDlz/uFn6T8FTk5O6NevH9auXQsAWLFiBSorK9G2bVvodDrs3LkTUqkUQqEQP/74I8rKyuDk5IQ1Y8bgx7/+Fe2NRqQxDDZNn47Bmzbh6J07wJ07OCAQQCmVYujIkYiPj0d5eTkKCgowZ84cDB8+HH379sXOnTt/P9/W/6MwZ7J/IJKSkpCXl8fN3IDm7KWxsRFqtZrLBL766itcunQJW7ZswY4dOxAaGsopt1RVVcHJyQk6nQ6vXr1CTk4OFAoFBg4ciNzc3FbHBoDc3FxIpdJmnmVAAAYOHIg1a9ZAJpNxtJE5c+YgLy8PGo0G3t7e2Lx5M7788ksQEUQiEXQ6HXe8PXv2oLy8HNOmTcPy5cuxdetW8Hg8bub54sULSKVSKBQK1NTUoKSkBDKZDGvWrMHcuXNRU1MDgUl8oSWQP3jwgKOiGAwGWMrlqKypATFMMy2HZeGkVoOtqIDM0RF3nj2Dm5sbAGDGjBkoLCzEmjVrEBsbixkzZkCj0WDp0qVYt24dAgICcPDgQTx+/BizZ8/+h/eoRQiDYRgIhULodDqkp6cjLS0NqampOHToEA4dOoTo6Ghs2rQJixYtQlJSEpqamhAbG4uTJ09yHMXTp0/j8ePHGD16NNasWYOysjJs3rwZ9vb2ePToEQwGAxiGAcuyaGhoAMMwiIuLg62tLS6fOYPCsnnrr1IAACAASURBVDII+HwQy0IoFMLKygq1tbWYP38+Fi9eDC8vLzx69Agsy6KpqQnW1tYoLCwEj8eDXC7n1G8AoLa2FlevXkWfPn1QWloKvV4PBwcHKJVKFBYWoqamBiqVClZWVtDr9SguLkZTUxM8PT3x4sUL1NXVgc+yEOv1aOLz0aDXI2XAAMz6/nvodDokJCTAzc0NqampkEgkAIBQZ2fkPX2KQhMNyMPDAwUFBRg4cCDq6+tx5coVVFdXw9vbGyzL4u7du9Dr9Vjerh2+zcrCLTTzNOPCw5FvyvLHjRsHuVyOwsJCLF26FAcPHsT48ePh4uICHo+Hly9f4v79+9w9/Pzzz7kg+/jxY4SEhGDPnj2YM2cONBoNVq9ejYyMjD/9F/s/g44dO+LChQuIj49Heno6Bg4ciA0bNuDChQsoKSnBsGHDMH78eKSnpwMAYmNjsXjxYty8eRMrliyBFICFpSVyCgrgp1Yjp7ISlQBiAajt7fFCoUBDQwPq6+vR0NAAlUoFpVKJyspK1NfXY8WKFX9qURFzJvsvICIiAmKxGAaDAUOHDkVCQgImTpyIy5cvo7i4GOnp6di/fz88PDzwxRdfQCgUori4GNeuXcO4ceNQUlKCw4cPIz4+HtXV1SgqKkJubi4yMzMhEonw448/4ujRo1izZg3Ky8thbW3dSlbtk08+gY+PD86dO8cJCOzcuRMJCQlo164dUlNTUVtbC19fX/Tv3x8zZ85EXV0dJk+ezMkJNjY2QiaToW3btiAi6PV6VFZWQiaTIdLfHy9KSmAQCpGamoqqqipUVlbCx8eHG4Py8nL07NkT7u7u2LdvH6qrq6ESifDsiy+wf+ZMRM+Zg7q6OiQkJODmzZvQarVcudnV1RVPnzzBq5oaSAAYiNAEQCYQwOPVK5whQkZJCTqhWdjiwYMHWLNmDWpra0FEyMvLw7Rp0/Dq1SuUlZVBLpcDAAYMGPCb7+Ebb7yBBw8etCqTAsCTJ0+QlJSEhoYGvPvuu+jatSvGjRuHHTt2QCwWc+pT1tbWcHd3R11dHZYvXw6j0QhPHg89T5/GSY0Gs2bNwty5c5GSkoK3334bxcXFiImJwXfffYc9e/YgNzcXb1pYYGtFBdKJsFGvxwNLS7SPj4eDgwMOHjyIH3btgo9EgsInT6BSqcDn81FSUgInJye8evUKjF6P6ooKWCgUkCuVEAgEqKmpQdu2bcHn87lnplOnTvj2m29gMBjAmji/Dx484KofRISnT5+CZVnwWRZGvR41ABz1ehQAmH/6NNRqNcLCwnDixAlOhUun00Gr1eJiTg4YhoG1tTXKyspQUVEBhmFw+vRpJCYmcuIijY2NKCgogF6vB49lsS0rC4UA/ADcB3Dv1Sv4+voiIyMD7733HleKXrZsGTcRKi8v5+5Vz5494eLigr/85S/ctps3b6KhoQHHjh3DV199hWnTpuHOnTu4fv26OcD+DfR6PfeMAD8XYwH+W8bxzp07KCkpQdeuXZGZmYm4hAS0b98eP/zwQ/OOMhmg0+FifT0mCAS45OmJHTt3wsnJCUKhEF5eXhg1ahQCAwP/4ZLOnwXmIPsv4Pr16wCAbdu24enTpxCJRFwmMW/ePHh5eUEqlYLH43HrRAqFArGxsXjy5AlevHiBxsZGTJgwAd7e3khMTISzszOmT5+O/fv3o6qqCgzDYP369QAAX19frnSbk5ODmzdv4ty5c3B0dOTKpEqlklu75PP5SEhIgJ2dHQBg06ZNAIATJ06gsLAQ/fr1w+7du/H+++8jMjISBoMBarUa2dnZeHvUKDx8+hS2AKiuDk8fPIBErUaXLl0gEAhgaWmJ7777DqWlpdi5cyfkcjmMRiNIp0NdbS1+KCvD99evo3DVKth6eODJkyfw8fHhyPFA8/qYjAgsgK1o1rZtZ2+PleXl4JsCXrBOBxbNAeL58+coKCiA0SSQIBQKIRaLUV5ezgXYfxaHDx+GXq+H0WiEh4cHt728vByrVq1CZGRkq/0FAgFmzJiBVatWIT8/H/Hx8ejcuTPKysqQkZGBlcOGYZLBAMHhwzjHsrjk4YF+Fy/i+PHjWLx4MWpra6HX65GUlASDwdA8m2dZjNfr8QqAHRGqystx4MABMAwDhgjlBQVoAnCAZTGNCAX19ZBIJLh27RpgMICMRhCAipoa1NfVodFohFAo5AQnWvD6UgQA3L9/HwA4mUUAXEBToVlG8hUAWwAvWRYvXryARqOBQCDAxx9/jKysLERHR+OHH37AoEGDkJiYiLCwMCQnJ+Pzzz/H5cuX0adPH+Tm5iItLQ1yuRwxMTEYOXIkjEYjZDIZ9A0NUKF5HVcLQGT6rJw/fx7Dhg3DihUrcOzYMfz444/Yt28fjEYjWJblJjkA0KZNG6SkpIBhGGRmZuLp06e4fv06du3aBWdnZ8TGxsLR0RH+/v5YtmwZ/vrXv/6qCtB/IoKDg6HVarnxJCIMGzaMey4OHjzIVcxWrFiBKVOmgGVZxMXFoaCgAABw8eLF5oPJ5cDGjUg8eRKGrl2RsWcPiIhLRsrKyloJiADNzxzLsn/eyc+/s8vqz4qtW7fSwoULKTc3l+Li4rhOuuHDh9OuXbsoIiKCfHx8SCaTNfPOTGbmc+bMofDwcJo6dSrZ29uTUCikSZMm0ahRo2jhwoXEMgz1dHGhndOnU+/evWnmzJkcPWHkyJG0a9cuUigUJBKJOMEBHo9HfD6fHB0dSalUklwu54yjo6KiSKVSUfv27UmtVpOzszP5+fmRVCqlUaNGUWlpKVlZWdGkSZNoo0hEZwAaDJAUIF+RiAYPHkzDhg2jtm3bcs45fn5+5OPjQ0OGDKGoqChyFYloBED3AFIBZGPyFBUIBGRnZ0eWlpa/6CQjM3WntvjCxrMsNQH0Lo9HIpMzj6enJ40ZM4aSkpJIJBLRli1biIjI3t6+1f348MMPOePslJQUWrdu3d+9f3v37iUvLy/i8/kUEhLC0VtCQkIIAL18+ZLbd8eOHaRQKDjnHolEwvnhenp6koNMRpMBWmOiH73j7k6dOnUihmHIzc2N45Ty+XyOTyrg8cjRNAZigPg8HimVSnJzcyMA5GMSAVCYxsrT05M6duxItra21MPWlnqZ7pEUICuhkBiGIQcHB0pPTycbGxvSaDRka2tLbjIZvQmQl4nvONXfnyIjI0kul5OTkxMtWLCA6/SM9/cnMUAfAZTAskSHDlFGRga5urqSvb091dfXU1FREfXt25fatGlDH3zwAefus379epJIJFRXV0c8Ho9OnTpFe/bsoaioKM6C7Ny5cxQdHU1KiYQuikS0HaARDEOMidIzduxYevnyJfVt1456ODtT5+BgYlmWMjIyKCYmhkaMGEE8Ho+kUilZWlpShw4dqH379uTo6MiZyHfs2JFCQkJIIpGQhYUFjRo1iiIjI2nQoEHcdRqNRvL39+dEUn7pn7OzcytnrD8r2rRpQy9fvqSuXbtSbm4ut/3Vq1c0YMAAys/PJ7lczrmAEREtWbKEli9fTqWlpTRu3DhycXGhxsZGMhqNdOLECZLL5eTv708RERHk7OxMSqWSIiIiyMPDgxwcHCgiIoLzxf2zwhxk/wV4eHhwtIANGzZwQfbYsWN0+/ZtGjlyJGeXNHHiRAoNDaWkpCR67733aGRcHM0KCaFwDw/auXMnjRgxguLi4qi4uJi6detGw8PCiAdQb4B2sCyF2NlRSEgIdenShdavX08dOnSg+fPn0zfffENz586liRMn0ltvvUXBwcH0X//1X7R3714aPnw498Dn5uZSVFQU7dmzh0JDQ2nu3Lm0c/p00k+ZQm+Y1F7UajXJZDL64IMPqGDjRmqUSKgTQI4AjejUqdW1nzp1imxsbKioqIjy8vLIy8uLPDw8yMnKit5kWdICZJRIiA4dov3791OvXr2IiGjlypUkFotJLpfTrFmzyNramgQtXNhDh4iomRa0Z9YsGsHjkb9USizD0N27d0kgEJC1tTWp1Wri8/nk6urKmZQ/ePCAiJqpSi3qQI2NjbRlyxZKSUmhxsZGio+PJ5lMRnw+n3Jycn52Py0sLKi0tJROnTpFo0aNopqaGlIqlT/bz8fHh5YvX05qtZrGjBlDZ8+epbZt29KTJ0+os5cXBQPUEaCdQiF9+OabnJrUokWLKCEhgZycnOjw4cM0c+ZMSk5OJicnJ+oeGkpJ7u6kMaknxcbGUo8ePZr/js8nNUBdWJbEAgHZ2tqSjY0NKRQKclCriW+iUbij2cRdrVaTp6cn1dXVkUql4uz4+DwejWBZikGzdZ1CIiEbGxuysrIiZ2dnsrW1pU6dOlFcXFwzrYplKc7BgezVavLz86OAgAA6d+4czZ49m8aMGUPR0dE0dOhQSkxMJIFAQPb29uTu7k65ubkkkUiIqJkqZWtrSwcPHmylvpSVlUVJSUnNKla7dtHBXr3o1qefkouLC33zzTfk6OhIdixLTgD5479t/n7JLJ7P55NcLCYew1CnwECSyWQkFovJ19eXBAIBicVi6tq1K02ePJkAkIuLCz19+pQ7F5lM9nc/5/9pnNoWvvrf4sWLF2RtbU0ODg7k6Oj4s3+Wlpak0WjIysqKG99+/frR7du3qbKyknr06EF3794lIqJvv/32ZxS7PyvMQfZfQIvpOBFReno6DRkyhBwcHGjs2LE0YMAA8vLyor59+xJRs7rRihUraNCgQbRo6FDaJxBQGkBhDENvBQdz/EhLS0uytbUlD5GIWBPvUAqQkGFIIpGQTCYjW1tbEgqF5O7uTgMGDCAXFxcKDg7mzIjFYjGXPbYQ/lt8PyUSCbEsS1EqFQUBdN8k+uBlZUVr166liRMn0kcffUS+vr4U4u5OtiYua4vZuEQiIaEpW+rRowd3/WPGjCGWZZsnAm3a0KyQEJrUowcZjUZq164deXh4UHFxMVlbW3Pmzi3/AyCZTEYMw5BUKiWWZSnQxYWGoNlrdDLLUsP+/dStWzeytbUlS0tLksvltH//fnr33XfJzs6ODAYDvXz5kry9vendd9+lJUuWUHh4OHl6epKnpye1b9+ey0b0ej33JdLi1/vpp58SANJqtVyQvX//PoWGhrb6Qj558iSxLEtWVlbk6elJTk5OFBQURDwej/O1nNy9O8n4fFo7diy99dZbxDAMCUxeri0m8E5OTmRpaUmJiYk0YcKEVpkxTNzhlp87+PiQmMejqb16kYuLC82cOZPatGnDZcUMQK5CIUlFIlIoFNSvXz9yd3enWbNmUZ8+fUgmk5FKpSIfHx/ycXAge6mUYgMCaM6cOWRra8vdW19fX7pz5w6lpaURAPL29qaMjAzat28fxcfH05IlS6igoID8/f1JLpcTwzBkbW3NCV6EhYWRUqmkU6dOcUGWiCgjI4PGjRvX6rNz9epVUqlU5OHhQWFhYRQREUEajYZ4PB5ptVoyGo10rl8/egrQPlMwVTAMJ9f4epANFAjooaly8MhUGWjXrh1ptVq6desWxcXF0e3bt2njxo0UHh5OWq221blYWFj8Tt8IZpjxc5iD7L+AlnKHj48PHTx4kMtki4qKaMSIEVwmm52dTdbW1hQdHU3Ozs5kL5USD6A+AIUDtMzbmxYvXkxWVlZUXV1NO3fupOz168kaoDSA6sRiGt6pE61du5YWLVpERETDhw+nEydOUHZ2NoWGhlJTUxN169aNQkNDydLSkpKTk2nUqFGUlZVFjx8/pqtXr1K3bt3o7t275OHhQfOCgijMdA69AZoUGEgjRoygbdu2UVlZGVVVVZHRaKS2bdtS27ZtacmSJbR69WpOrOB1JaXt27dTREQEJSYmkkQiIUtLSwoODiaFQkECgYAYhiEPDw9yd3fngipjMhkX8vnEAhTh6UkikYgzhrYSiei4KYCI0WyGLjKZTLcoBLUIU/B4PLp79y6VlpbSvn37qFu3btSzZ08iaha/6N69O+3atYsKCgro5cuXdOHCBYqNjaXnz5+TRCIhqVRKkydPJoZhqL6+no4ePUohISHUsWNHTp5v3759tHLlSnJ2dqZhw4ZR//796cMPPyQvLy9iGIZGjx5NfD6fhg4dSt9//z29ePGC1qxZQ3K5nKZNm0Y9evSg9957j6RSKVfWbxmDlgkQy7Ikk8lIrVbT9u3bOZGHluAtEom4DN7T05O8HRxIBNCnaDbh5rEsWVtb07x580itVpOFhQVJpVLq168fNzFoGX9nZ2eurGplZUVWVlYUFRVFarWaFAoFMQxDGo2GFixYQCzLUkpKCul0Ok6icMiQIZSUlESTJ0+mefPm0a1bt4iIKD8/n1QqFVlZWf3dz05GRgYlJiZShw4duOzZ1dWV+Hw+xcTEUKdOnWhQZCSVSSTk2LKkIBJRcHAwd98FAgG5uroSyzA0FCAdQJEA2Zomla6urhTq5kZygYDcTDq5QUFBFBERQSEhIVRaWkpE5iBrxh8Lc5D9HZCYmEjp6elckCUiioyMpKFDh9LZs2dpzpw5dOPGDSJqznhdbWxoHI9HaQCFMwztnD6dLl++TBEREZScnEwhISEUGBhIMrGYImxsKMLTk8RiMTk6OlLnzp2JiLgA3nLsixcvkrOzMy1YsIBWrlxJDg4O1Lt3byIievbsGbm7u9OaNWsoOzubEhMTafHQobSEz6digLYJhTQuIYFUKhVduHCBIiIiqH379iSRSLg1X6FQyOn6BgQEUHR0NEVFRXGavi1ZbkBAAIWEhFBUVBR5enoSj8ej0aNHc5njunXrSK1Wk1KppIndu9NeHo88ASKplEQm1aLQ0FCq+/prSgboC4A6six18PEhlUpFIpGI7OzsuCydZVlOP3fNmjV0+/ZtEggEJJFIOEH+FqUogUDACfQLBALq0aMHxcbGklqtpoiICC7jt7a2bjURUCqVFBAQQB07diQLCwsugLEsS2PHjiUnKytaKJXSX0eNorCwMJoyZQrt2LGDvLy8qFu3bqTVaqlHjx60efNm2rBhA02fPp0GDhxIIpGI2rVrRx06dKD+/ftTREQEicViUiqVtGrVKtq2bRsBzWYDPB6POnXqxJ23Wq0mFiBfNKtiWQFkI5FwgQoAtWvXjvz9/cnGxoarsLRp04Zby5w2bRppNBpuouLo6EgWUinZ83jkYGFBVlZWFBERQTwejyIiIsjR0ZHkcjlpNBquauHq6kpeXl7csklwcDAplUrSaDT/9OdoyZIlPxO2v5eSQr1dXCjMw4OcnZ0pJiaGFAoFsSxLcXFxdOTIEVoweDBZmjJZX4YhW6WSLCwsyFEmozDT+LAAvWX67BA1l4BbnklzkDXjj4SZJ/s7ICYmBlu3boVAIMD48eNx7tw5bN++HR999BGkUilUKhUKCgpQW1sLrVaLuro6qCQS8PV6aDQaTF+0CJaWlpg7dy7GjRuH2bNnIz4+HgqFAkeOHAERwd/fH5MnT0ZlZSWWLl2KoUOH4sGDB7CwsMDLly/x+PFjBAQEQKVSAQCePn2KwsJCTsCATGbnBw4cQEZGBtatW4eLH30EY2YmblhaosLRkVM4atu2LQYNGoSysjI0NDRwlJkWvqtCocCNGzfw008/wcPDA1evXoWfnx/s7OygVqtbdQk+ePAARUVFiIuLA8uyWLNmDTZv3ozS0lI8HDgQM1JTcQxAFQCNRIIXDQ1o164d+Hw+bly5Ak8+H/lE8A0Oxq1btyAWiyGVSmEwGPDTTz8hJSUFhw8fRllZGcRiMcrKyqDX6zF69GgsXLgQs2bNwrlz59ClSxdYWlri5cuXuHLlCl68eAFnZ2eOa2kwGGBra4vnz59DLpdDr9ejsbER1tbWnBrTxYsXERsby3FTQ0NDkX3zJngGQ7OHLACjQICl77+PkJAQDBgwAJaWlqiurv5VdSYAHGe4hTdsNBpha2sLiUSCwsJCODs7o7i4mOsA5fP5aGpqAo9lYTCpMSkACBUKbEtLw9SpUyGXy1FRUcFZ0LV45TY2NjaLRzAMdxyGYZq70gUClJaVwQLA50IhjsTEYGd6OlQqFSorK8EwDObNmwcPDw/069cPNjY2aGpqgkgkQm5uLsaOHYuMjAzs3bsXcXFxcHBw+NXPzMmTJ7FgwQLIZDJuW1FREYRCYSufz+LiYuj1ejg7O+PChQtwdXWFn58fTp06BaVSyamFuRYX49R336FYqYRLVBT4fD6WlZdjzaZNWAhgHABNu3ZY+prNXsv9UKlUqKqq+o2fdjPM+Cfxvxbe/yRoaGggW1tbqqyspOzsbPL396cuXbpQU1MT2dnZUb9+/ai6upqysrIoPz+fbt++TX369CGi5uah4OBg2rlzJ73xxhvk6+tLdXV1RETUu3dvWrFiBeXm5lLnzp2pV69etG7dOlqyZAkREQ0YMID27t1LQUFB5OHhwWXKLTh16hTFxcWRlZUVde/endvet29fCgkJITc3N+rSpQudO3eOPvzwQ5o3bx4REXXv3p0OHDjA7Z+cnEyzZ8/msoyW9y8sLKROpmaoiIgIUqvVv9iZOX78eOrcuTMFBweTv78/t/YqEAhIYir7MgApW0rDYjF5eHiQVCQijSkLsQbIQiql/v37U2JiIrEsS3Z2dhQbG0sZGRl05MgR0mg0FBAQQN27dycej0fh4eFcuZrH45FMJuME7Vuyt4CAAPLy8uLWnFUqFRUWFlJeXh4nPu/j40N9+vQhFxcXcnV1bbXmrVKpyFYioeGmcu0lgBxlMlqwYAEREfXv35/27t1LRESXL1+mvn370sWLF6ldu3bk6elJdnZ2NGrUKPL29iaFQsGVkGEqhUqlUlKr1eTg4EACgYDi4uJo0KBBNHr0aAoPDyd3d3dSyWTUx1QyBVoL7zMMw2nHikQi6tChA3f8s2fP0u7du0kkEpGjo2OzFrKbG0UBtBWggwCN8vOjgoICYlmWwsPDKSIighvTlsqFQqHgMli5XE7h4eH07rvv/i6frfz8fNJoNHTt2jUaMmQIubi4kKWlJVlYWJBQKKSAgACuj6GlajNixAiys7Nr1oEWi8nK1NOgAWjJsGE/e4/c3Fzy9/f/Xc7XDDN+CeYg+y/g9OnT5ObmRrNnzyaiZupIREQEXbt2jYiIKioqaPXq1dw61utl2xYsXryYdu7c2eq4t2/fblW6DQsLo6ioqFY2XpGRkRQREUGrV6+m2traXz3HkpKSVp20KSkptGXLFnr16hW37fz582RnZ0f29vYUEBBAnp6e1KZNGwoJCSFbW1uuzNpCV2lpfoqIiCAiIj8/P0pOTv7Ze589e5Zr/CIiSkpKojZt2pC/vz/l5eVRbGwsbZw0idR8Pu0bMYLefvttzrKORTOlBabOWbz2r0XknmEYEgqFHIWpJTi1BJWWtU+xWEwrV67kmsaSkpLI1dWVDAYD7dq1i/OrZRiGWIYh1hTwWwIWn88nHx8fbgwEAgFpNJrmRh2WJXfTl7gzQFKRiFiWJQsLC1KpVOTg4EC+vr5cQ5dcLie5XM6VrQMDA5vXcmNiaEeXLhTk6kpt2rShFStWUGhoKAmFQlKpVCSVSslDo6GRPj5kY2FB7u7utHXrVurbt2/z0oJMRg4ODs1ruFIpTe3Viz7//HOytbWlwMBAunnzJlVXV3MesNHR0RQYGEgsw5CUzyexQEBKliUFQG4AeTIMWZkCKI/H457hBQsW0M6dO+n06dOtuoWfPHnSyjzh90JRURHpdDpat24dTZ8+nZYvX05NTU2k0+no8ePHVFJSQpMnT6Y7d+4QEdHgwYNp7ty5tGDBAioqKiI6dIjiHBxo/uDBnJPR8ePHuevZtGkTjR49+nc/bzPMaIE5yP6OqK+v/4ft/r+FDlBdXU2nTp36vU7rn0ZFRUUrZ4zXM2ii5smEt7c3F4hbMrsW39bAwECaNGkSnThxgrOfa/EHtbe3JysrK2IYhuRyefMXPctyHNKWgN7GzY0iWJbsAerKMCR6zalHrVZz3a0sy5LI1Dxlr1Zz+7z55pvk4ODAZW6uCgV9NmEC1zRjZWXFmUa3eMZaSKU0gmWJTAGez7IUERFBfD6fLCwsyN7enmQyGbm4uHBrvsdmzaLzaKY5zWEYmpWYSIGBgSSXy6l79+40ZMgQsjGtq1sIhRTg7NzK+5ZhGIoNCKACoZAcAJrC45HSFMi9vb25fXgsSzxTZi81NQF9/PHHnCsPwzAU7+vbnKUCtIzHIwuxmKRSKQmFQvL09CQ3NzcSmSYBTk5OxGNZEpiqCAqAnKysyNvenv4rLIwOzptHXbp0IX9/f/L09OTWXFvWYO3s7EitVlNYWBh5e3vTt99++4cEWaLmiWFLIIyJiaGsrCx68OABeXt7ExHRqlWraOTIkdz+W7du5QIqEVF8fDydO3eOiJonugKBgKqrq6mpqYkCAwPpyJEjf8h5m2EGkTnImvEb8Mknn3BdzURENTU1VF1dzTWOBAYGklKpbFUm9vb2JmdnZ+rVqxdt3bqVOnbsSHV1dTRnzhySyWS0cuVK6tmzJ02cOJFsbGyIz+fT/PnzSSgUkoWFBUVFRVE7Ly9iTV2zLXxYd3d38vLyInt7+/8uiwLUBaBAUxcyAE70g88w1AMgB4BC0UyFUqlUxOfzSf1aUGZZllhTZ2p0Sxb7WvbMsiypVKpWZVgA5MLjNXc/mzJZ5S/wOBlTYGxpVPrbzLzlfXimfV1N72FjY/PfXFCAPAAyAjQboP+ytCR/f3+ytLTkStstx5WYjtVSBgeaG9Nafm4ZHyHDkLvp3BiA1CIRhYeHk0QioYULF7Yy366srCQfHx/u9/v371NQUBARNVsa7tu3j1s++D3R0NBAPj4+9OTJEyIimjNnDn399ddE1Lxk8uLFC2psbKSxY8dyE9hPP/2Uqy4REX322WcUEBBAvr6+5O/vzz3Lz58/p7Fjx/7prdbM+N+FufHJjH+IZcuWoaqqinPpAJqt4hQKBViWhb+/Pzp06IDU1FQYwiH9AgAAIABJREFUDAZcunQJx44dQ0JCAmbOnInbt28jKCgIer0eL1++RFNTE4KDg5GdnQ2dTge1Wg0PvR7P6utR1NjINeUQEQwGA2xsbPDq1SuIxWK4ubkhPz8fly9fRmhoKGQsC4leDwLQAcAxAGBZThKunVKJiqoq5AFQAygDOJH+Fr1eiUQCnU4HO6USjWVlsAFwDwADQCKVQqvVQi6Xo6mpCY2NjbCysoJUKkVJSQnKd+0CDRuGDwF4CYXIHzgQX5w/D29vb0ilUty+fRvtBAKsz8/HAADHAXjx+Wg0GRJ07NgRg3188NmmTRAAuAnAxsICla81SimVSshZFkVlZfAGIGIYMO7ukNrb49mzZ4iNjcXXX3+NsV27YteJEzAACAVwAwBfKASfz0d0dDT0pka7y5cv49NPP8Wid96B5bNnkBuNsGFZXLK3x9msLAwbNgxTp07Fd999h+DgYOzevRsSiQR37txBUFAQgGZjhRapzE6dOiEvLw/jx4/nZD9/TxgMhj+v5J4Zf3qYg6wZ/yN06dIFZWVlYFkWpaWl0Ol0MBgMqKurg9FoxPz58zF16lSsXbsWYWFhKCoqwoMHD6DRaFBTU4O1a9eiW7du8PX1RU+1Ghc/+ADFRiO+AzCkWzd8uHcvFixYgJqaGlhbW2P37t0gIjQ0NECr1SI4OBi3b9+GhUQCpq4O9QAsAFQKBLCysUFUVBSamppw4tgxWDU1wQ/ABIEAB9q3x8GrV3Ht2jXs2bMHqamp6NmzJ9LS0iAWiyFiWbiLxciuqACPx4OXlxeePXuGiIgIZGdno66uDjKZDDKZDC9fvoS/vz8K796FUCTCB+PHI1+tRkpKCnQ6HT755BMcOHAAl378EfaNjVhAhCUMA6G9PR4WFQFo1kIODw9HfUkJ6isq8KSmBiyPB4PBAKFQiF69esHX1xdXr15F/r17kOn1kFpaoteIEVi6dCnc3NwwceJErFu3DjKZDE01NfAUizF7zBgsOnIEd+/ehY2NDUpLSzFv3jzcu3cPeXl5aGxsRFVVFdR8Phqrq9EkEOBVfT0CAgKQm5uLsrKyVvq+Z86cweTJk/Hw4UMAQH5+PpKTkzFhwgRYWVmhT58+rRyNzDDDjGaYg6wZ/zLWr1+PV69eoWPHjtDpdDhx4gTnfTtx4kRkZmaitLQUDQ0NsLW1hdFoRE1NDWpqahAQEIA0Hx/8dfdurEGzn6hRKsULk5G5Xq+HWCxGY2MjLC0todVq0dDQgM8//xzjx49HYGAg1g0ejN7LlkEsEmHK22/j0KFDKC4uhkwmg5ubG4zl5XhZVASjRILnJreehoYGSKVS1NbWQiAQwGg0wmAwAACCgoJw7949sCwLsViM2tpaODs7c3621dXV6NSpE27fvo2sRYtwZt48fOPri3M5OWBZFpWVlVCpVLC0tERFRQWMRiOqqqowNSgIbwwdivN6PTIyMnDmzBk4OjoiOTkZ8fHx6NevH0eTYhgGeXl5CA4OhpubG5RKJa5evYqwsDDk5OSgrq4OERER+Omnn2Bra4va2lp4enoiNzcX1tbWnOtPeXk5tFotPvvsM1y6dAlbt24Fy7JITU2F0WjEixcvIBQKUVJSgnXr1kEul6Ourg6+vr4YPXo0duzYAZFIhIKCApSWlsLT0xOff/45vL29kZycjAULFmDSpEl4+PAhEhISOCoVAJSUlGDGjBn/EU4rZpjxazAHWTP+KWi1WgQFBUEqlXIZS2lpKQwGAzQaDWpra1FRUQErKytcvHgRfD4f8fHxGDhwICoqKrB+/Xrcv38fs2bNQmVlJSoqKtA/MBC3Dx6EkQhDhUI8GzQIZSa7tLKyMiiVSty5cwdz5sxBZmYmvv76azAMA4lEghcvXkCtVqO6uhoymQxPnjxBcHAwTpw4AX9/f0yfPh0//PADRo0ahY0bN6Kurg7ff/89PvjgA5w4cQJJSUm4d+8eCgsLERcXh1OnTuGnn35Chw4doNPpMGHCBNy7dw/Xr1+HwWDAnDlzcOnSJTx48AClxcWoZlnoGhvRlWGQLRCAEQjA4/Ewbdo0hIWFYe/evbhw4QIaGhpQV1cHiUQCPp/fipfZMokAAB6PB4VCwQVqPz8/3Lt3D0KhEBYWFnj06BG2bt0KPp+PMWPGwN3dHQKBADY2Ntx4Tp48GYcOHcL48eOxefNmFBUVcWXup0+fcoGcx+OBiNDOywuoqkJ2RQUMJj701atX8ezZM0ybNg06nY7j+rZp0wYXLlzAkSNHsHHjRpw/fx7p6elISEj42bOydOlSKJVKzJo169/zcJphxv9BmK3uzPjN+OCDD1BWVoasrCwolUqwLAugOZO9du0arly5wnmGVlRU4MyZMwgNDeUM11vw9OlTuLq6orKyEkqlEmVqNX4AwAI409QE2r8fBqOR8zlVqVQQi8V4++23odPpoDH5tL711luwsbFBdXU1hEIh9Ho9unbtitLSUjx69Aj+/v7Iy8tDmzZt8M0330AkEuH06dPw9fWFpaUlvL29cenSJYSGhiIhIQFr167FnTt3oNFowLIskpOTcfz4ceTl5cHa2ho8Hg+pqalgWRbdunXDwS+/BK+xEakAMolgw+fDOzwcjx49gr29PRiGgU6nw/Dhw1FZWYnExEQcPnwYJSUluH79OhwcHODt7Y1nz56hrq4OISEhOH78OGdIHhsbi1evXmH//v347LPPkJ6ejpiYGG4ct2/fjtLSUkilUtja2qKgoADbtm3D8OHD4e7ujt27d0MqlaKyshJExGW8Q4cOxSeffIItW7Zg/qxZ+C43F+2J4M8wKFAoYOvsjOjoaFy5cgVvvvkm7O3tceXKFVy5cgU3btyAVqvFnj174OzsjMWLF+P999//1Wem5Rkxw4z/VJiDrBm/GUKhEDKZjFOVakGLF2taWhpGjBjBBa727dujS5cucHFxwWeffQaj0Yjjx4+joqIC1dXV0Gq1EIlESExMRPa6dfh25kyoiXCVCDaJiRjy3nu4ePEiDAYDPDw88P333yMrKwsjRowAwzAYM2YMeDwepFIp7OzsEBgYiLlz56J///4YO3Ys6uvrodPpYGVlBTs7Ozg6OmLChAnQarW4desWEhMTsW7dOnz88ceIiYmBUChEeHg4gObGrnHjxiEtLQ3p6enw9PQEn8/H3bt3MXnyZIwbNw5lX3+NxoEDMdpggEwoxJmOHZFdXo5NmzYhKSkJN2/exI0bN3Dz5k20a9cOarUaX375Jb7//ns8fvwYly5dwooVKzhD6549e+LIkSPYsWMHevXqhVWrVnFj3L1791+9L0SE2tpaXL16FQkJCUhISIBareZe9/X1RUlJCYxGI0QiEQ4ePIirV6/i4cOHEPL50Oh0OAggmgiiujo8fvwYzs7OuH79OmQyGfbv3w9nZ2fueCKRCIcOHcKaNWu4DNwMM8z4ZZiDrBm/io8//hg7duzg1thaysJHjhwBAOj1esTExMDe3h61tbV49OgRDh06BIVCgVu3bkGhUKB9+/Y4f/48pk2bhvLycowaNQoKhQK5ubmYNWsWampqsGTJEkwKDMS3RNACEBgM4Keno16jQa9evfDq1SusWrUKarUaDx8+RHZ2NoqKinD//n0u2y0vL0dxcTE0Gg0sLS0RGBiIKVOmYPfu3VAqlQgLCwPQXO7+61//infeeQdFRUVwdXVFv379MHHiRCQlJUEikXDXzzAMxGIxxGIxV55+/bWGbt0wWijErpEjIbW0hEqrRdqECQgMDAQAhIaGorCwEAAwevRo7m8TExMBAJcuXQIAztD6/v37iIyMxMuXL/Ho0aPffJ8YhoFCoeBKtq8HWCJCYWEhNm7ciLfeegsrVqyAXq/H0qVLcfHiRXSKjUW1RAJqaIAYQF8/P6TdvYt27dohtqICovv38crCAi9+89mYYYYZr8McZM34VUydOhVTpkyBXC4HwzBYv349p50MNAfZhoYGKBQKNDY2Ijg4GGq1Gj179kTHjh1x8uRJ9O7dG5mZmfj888+5tci//OUvSExMxIoVK7jM8XFdHY4CeAhAIhTiWFQUHj9+jAEDBqCmpgZvv/02JBIJBAIBOnTogNmzZyM8PBy2trbYvHkzUlJSkJiYCBcXF2RmZmLixIkAgBUrVuDWrVtcp+xHH32ES5cuoa6uDoWFhejWrRtEIhEUCgXWr1+PefPmwWgqVf8jnDlzBkURERBv3Qravx97p03DhQsXfnHf/Px8jBw5stW2199n06ZNCA4O5s7z92qVOHnyJBQKBVauXIkNGzaguLgYRISjR48CAIQiEdb174+pEglW8vnYe/cuwsLCEFFVBfH06bADECkU4rvXytRmmGHGb4c5yJrxq5DL5aiqquKyxddhMBhQXV0NS0tLAMCsWbPw6NEjBAYG4vjx47h69SqeP38OmUwGgUAAnU4HFxcX7Nq1CydOnICXlxcKCwuRk5ODYDc3iJ89QxWAESyLg4mJgEoFys8HACgUCgQGBiI8PBzXr19HfX09xo0bh+fPn6OsrAyzZs3ClStX4O3tjc6dO3Ni+M+ePcPs2bMhEom4oNXSKTxjxgykp6cjNTUVAHDjxg1cvnwZAJCRkYERI0bA2toa48ePB9Ac9JqamtDQ0IDU1FRYW1tj1KhR6NmzJ4DmDNnHxwfdunXD4sWLfzaWo0ePhlarbbVNq9VCq9WiqqoKR48e5XjIPB6vFX3mX8Hy5cvh5eWF5cuXIz4+vlUm23JP1v/wA2bk5+PS1KnQ6/V4/vw5nhkMaAnzOp0O5Xl5ECoUv8s5mWHGfxLMQdaMv4sBAwa04sMaDAZ89913ICLU19cjJycHPB4P8+fPR6dOndDQ0IDTp09j2LBhEIvFyMnJwaFDh+Dv74/s7Gzs3LkTu3btgpOTE54/f46OHTtis40N3vrySyQCYIxGOKWno1ooRGVlJZ49e4b6+nq8ePEC33zzDdzd3WE0GrFjxw4AzaXWH374odXaoMFggMFggIuLC65du4avvvoKT58+RXl5OWJiYtCnTx+kp6e3us7w8HCEh4dDq9WiU6dO6NChA8aPH4+EhARu3ddgMMDV1RWenp7Yt28fPDw8UFlZieTkZBiNRuj1eqSkpHBcUqB5HXvHjh1cMH8dhw4d4n4+fvx4qzH/PVBTU4PQ0FAUFxf/7LXCwkK0b98e06ZN465t9+7dePjwIfr27Yv2CQloePgQaGzEQz4fp4uLsXrOnN/lvMww4z8J5iBrxt/FmTNnuJ//tlz8OpycnHDq1CmcOHECdXV1OHnyZKvs98mTJ7CxsUFBQQFGjx6NyMhI+Pn5obGxEZ1PnoQTyyLCaEQAgN5TpuDoixc4cuQIPvzwQwwePBidO3dGfn4+bt68yWWqDMMgIiICRqMR169fx4YNG/Dll19Cr9fj4cOHXBZ68eJFJCUl4dSpUwCaea6/hn79+qGsrAwMw2DBggWYP38+UlJS4OTkhJycHC7DvH//Purq6rBp06a/K74QEBDATQj+3VAoFEhJSWm1rSWjd3R0REFBAXfuFRUVsLe3h42NDWJjY1Hj44OlkZE4fv48+AoF5AIBNmzYgJUrV+Lrr79GdHQ0jEbjr753bm4u7t2794vUHjPM+E+COcia8Yv4e3zY7777DgA4BaaLFy/CxsYGxcXFCA4ORvfu3eHg4IA1a9ZAJpOhsrIS+fn5+OCDD5CXl4d79+5h5syZCAoKgq+vL2pra+Hk64uzWVmoZxj8eOAA6urqEBMTgx07dqBbt26orq5GWVkZPvroI0yZMgULFy5Ep06dsGHDBpw5cwZ+fn4IDw/HtGnTAADJycng8Xi4desWMjIysHbtWpw+fRpnzpzBsmXLuDLv3+LQoUMYPnw4vv32W0ydOhUDBw5ETEwMBAJBqxLu999/DxsbGzg7O2PAgAEoLS1tdRyGYZCRkYH58+f/Ebfnf4T33nsPe/fuxbJlywCg1eRArVbjp59+gkaj4bZNmjQJ/fv3x1tvvYWBAwf+7HgSiYSb8PwtPvvsM9TW1qJ3796/81WYYcb/XzAHWTN+ESKR6Bf5sK9nskajkZMZBJolAlmWhUqlQm1tLXx9fdG/f3/cvXsXW7Zswbvvvgsej4e6ujpO8enw4cOor6/H9epqaDQalAGQFhVhkKcnUsaNw/sREfjLX/4CPz8/CIVCbn2XYRjMnz8f06ZNQ0VFBYYPH84ZlL+OtLQ07NixA3w+H+PGjcOBAwcwYcIEuLm5Yc+ePa32LSoqwuzZs1FeXo4xY8bgyJEjqKmpQX19PUpKShAaGorS0lKuUWrbtm0AgLt377YqEQPNtBkA/6fUjt544w306dMH0dHRv/j66wG2Bfb29r9Ybl69ejUaGhp+cf0ZADZs2NDqd6PR+Js4sy20LjPM+LPAHGTN+FX8Eh/29RIhy7JQvNYMQ0RIT0/H1atXIZFIoNVqce7cOWi1Wnh6euKrr77C3r17UVVVhdTUVMyePRtXr17F4cOHMWbMGGzfvh1lX34Jh7feQtGdO8Dw4Vi4ezd+cHPDhQsXMGXKFPD5fK4D+Ouvv8a5c+egVCrx6aefgohw7NgxGAwGNDU1YcaMGVCpVMjMzPzZtVVUVCA0NLTVNisrKyxcuBB8Ph/vvPMOvvzyS3h4eMDKygqOjo64efMmJk+ejCQbGzxdtQrdTDKLWq32Z8H0bzPb/wto27Ztq9+zsrIwdepUZGVl4ejRo5g4cSIEAgFHAdLpdAgMDERxcTHGjBmDpqYm7m9zcnKQk5Pzi+vPfwsiQkhICFJSUhAXF/d3zzE6Ohrvv/8+evfujaioKGzatAkhISH/ymX/21FdXQ2FQvGrywjnz59HQEAAbGxsfvYaEUGv1/9ujW9m/O/DHGTN+M2oqalBbW1tq21du3ZFXl4ep2/LMAzHW9VqtTAajeDz+bh+/TpOnz6NiooKKJVKnD9/HgMGDEBcXBw2btyIkSNHoqmpCYsWL0Y8AFsAqK9Hqikjmjp1Kvbu3YuhQ4ciOzsbepP+79OnT3Hy5EnMnTsXYrEYu3btgq+vL9544w3MmDED8fHxv3gt6enpXCbaApFIhNGjR6OpqQn5+fnIz88Hy7JYtGjRf3/p5edDsH07Juv1wJgxgFiMY8eOtQpAADBs2LB/fcD/YAgEAq4K0djYCH9/f3h7e3O60zNmzEB5eTkyMjKQmZmJ3Nxc7m9bJinvvfceVCoVDAYDgoKCsGLFCuzevRtzXmuSYhgGkZGRSE1NRVxcHPr164cFCxagQ4cOePToEViWRXFxMU6fPo07d+6gTZs2AJqDdovkpNFo5ErTq1atwoEDB9DY2Ij6+noQERwcHFpdW1VVFQICAvDVV1/9oWPY8l4WFhbc7wsXLoRUKm0lJvI66urqMGDAAGzfvh0dO3ZEhw4duNdaJiQff/zxH37eZvx7YNYuNuN3Rf/+/REdHc19yT569AijRo3CtGnTEBMTg8GDB8PT0xPe3t7YuG4dFAA0Dg54YQpsEobBM5aFWqdDP5bFEaMRUVFRYBgGWq0WfD4flZWVKCgogFwuR3JyMlavXo21a9fixo0b2LVrF3g8HhobGyEw6Qj/M6isrMQXX3yBzMxMjBgxAq6urlCr1Zg+fTrmz5+P5T16YG5tLeJN+89o0wbXfoXa4u/vj61bt/7PB/MPRnh4OB4+fAg/Pz+UlpaipqYGHh4eqK+vh1QqxbNnz6DT6eDo6IjS0lKUlZVBrVb/bELBMAz8/f3x/PlznDhxAsHBwZwNYnV1NeRyOQBw9oJ1dXUQCARISkpCTk4OCgoKoNVqUVtbC0tLSwQHB4PP5+PatWsICAgAj8dDVVUV3nnnHXTs2BEDBw6Er68vpk6dimvXruH+/fvo0qULVq9ejby8PBgMBnzxxRc4ffo00tLS/vBxbN++Pd5//3307NkTRqMRnp6eOHv27M/kRIFmSlVVVRUWLVoErVYLb29vTiilZSzPnj37h5+zGf8+mDNZM3436HQ6ZGZmorGxETweD9nZ2Xj+/Dny8vJw8OBBZGZmIisrC+PGjcOjH36AX00Noogwsroam/38cMDaGiNGjIA6Ph44eRJDhEJc/vJLbNiwgQt2PB4PaWlpyMjIwP9j77zDojq3t31PYRi60pQOogiiRgUrEEusmKgRS6LGY49RYzfGHktMjF3RE0WNBY1GY7AXLBgxxliwoKKAKKDSe3GY8n5/EPYJMfl+5+SkaM7c1+V1zezZ7NnzzrjXfte71vPMmjWLzMxKLSK5XE7dunWloFqlUvWfMn36dJycnIDKVqDhw4fTsWNHbt68ycCBA/Fzd0ckJ4NGA+bm3DcxITw8/LnU8y+JT7xobNmyhYkTJxITE0OPHj3Iyspi9+7d+Pj44O3tjcFgwAwovXcPd09PsrOzKS0txc/Pj5KSEkaPHo2pqSnvv/8+SqUSLy8vRo8eTfPmzbl27RpyuVySfHR0dASNptIKUa9HZWHBkSNHuHr1Kvfu3WP8+PEUFxfz7rvvMmfOHJo1a4avry9bt24lOjqabdu20blzZ9q3b8/GjRvZtGkT48aNQ6vVUlFRwZUrV1i2bBkmJibUr1+f+/fvo1T+OZe3jz76iClTptCpUydOnDjBs2fP6NOnj/R6RkYGzZo14+DBg8yZM0fKfMjlcry9vatVgP8RfrxG/lqMQfYlQAjByZMn8ff3x9XVVdr+5MkTLl++jLm5OZ06dfoLz7CSjRs3EhYWRk5ODhYWFsyfP5/09HRmzJhBhw4dWLBgATKZjKVLl1LjwQPMhMAW6Ah45eeTnZ3N5cuXaR8Xh1KplKzuunbtip2dnfQ+T58+xdzcHK1Wy+bNm3/xXCoqKlAqlf+RQP3Dhw9JTk5mzZo19OrVSxLu37hxI2PHjmXhwoWMGzcO2YAB8PQpdO6MbMOGXz3ey+Crmp+fz/379xFCkJSUxMSJEyUf3aLsbBoWFzPcYKBXaiqmVFYhd+jQARMTE44ePSr1J/9U6WrXrl3k5eUxbtw4FAoFx48fx+PGDcSMGQTrdJQBzpaWzFu+nA4dOmBmZkZaWhpCCDZs2MDKlSsl96GQkBA0Gg1xcXGYmpqycOFCDh06xL1795g9ezZz585FrVZTs2ZN5s6di1wup6ysjNmzZ/9pYxgaGkpMTAx5eXnS+dWoUYNnz57RsGFD+vXrxxsuLjBuHHTuTH1/f9544w327dtHfn5+tR7pqup4I38fjEH2Bebhw4fMnDmTixcv4ubmxoQJE1i4cCFxcXFYWFhgb2+Pi4sLfn5+QGVbyaxZs/6/xxw2bBjjx4//3c5Rr9eTlpbGoUOHWLBgAf3795dSewqFgvLycpydnTl8+DAhISEcO3aM1q1bE6/ToX/0iIMGA8XAMzMzfH19KS0tZe/evXh7ewMQHBxMQEAAq1evBiA+Pp6QkBBmzpzJnDlzuHfvXrVgViUyodFo2LZtGw0aNPi3P4unpydHjhwhNDSU2NhYcnNzmT59OitWrGDRokVSGloTGAhdugCgDQ9n6NCh0tpmFRqN5qUIsomJiWRlZVFcXEyzZs2IiorC1dWVt956i1PHjqE1GJADCq2Wqk+zYsUK6Qam6iambt269OzZk6VLl5J5+jRZ165x4M4dDAYDXbp0oRZgLQQFgAGwzshg+PDhkv3eK6+8Qnx8PE1dXFDm5zOzb1/e37OHu3fv8uGHH+Lh4QGAv78/Y8eOJTAwkEWLFuHo6EhOTg65ubnY2dmRnp6Os7Mz165d+13G598tYvrss89ITU0lKCiIwMBA1q9fT0JCAsuXL8ciN5fuhw9DeTmnNm1iUu3a7I+Olqr1fyqMotfrEUIwderU3+X8jfz1GIPsC4y7uztjxoxBr9czadIkWrVqhb+/P56enly9ehW5XE7z5s0ZNWoUgwcPpqSkhMDAQKmg5+ctN6tWrSInJ+c/Po/S0lJSUlJITk6W/j148IDk5GQePXqEpaUlxcXFdOzYEScnJ4KDg+nYsSPz589nzZo1jB49WkrdNWzYUDIOj5wyhT1RUbhotbj6+/P555/j6OhYrbLSzs6umgKSh4cHe/fulXxqq3p2/1tKSkqIiIhg+fLl+Pv7c+LECdq2bYtMJmPw4MFSGnr16tXVUtEnT578Xd7/r+D8+fPI5XKCg4PJyMjA19dXem3+/PnUsrXlQU4ONkJQbGYGP94w5eTk0LBhQ54+fVp506HRkJeXx+rVq/li5UoshKAMCL9+HROFAlMzM+q5u/N2YiLTtVo0QKMOHRjSuzc3b97k8OHD2NvbY3j2jB9u3MARWD5rFjeFoHmLFtJ5PXnyhLCwMMkEokp7OjY2lrlz5xIdHc3jx4/p1q0bjo6OREZG8umnn+Lh4cHbb7/NunXrpKrzX+O3FjH179+fGTNmEBwcTNeuXUlKSkKn06FWq/nMwQHb8nImAzc1GpwNBmbMmMG9e/ewtbUlPz8fNzc3qbLYGGD/XhiD7AuMRqPh6tWrpKamsn//foqLizl9+jQuLi74+vpy4MABkpOT0ev1mJmZ/VtFPr+UPhVCkJ2d/YtBNDk5mYKCAjw9PfH29sbb25v69esTGhqKlZUVY8aMoby8nFOnTlUr4IDKgDpgwAAOHTrEiRMngMo2II1Gw9q1azlx/TqH4+Np1qwZq1evJiwsjEmTJvHmm29KhuJCCAYPHvyc6EFZWRlNmzaV1rb+0wIngG3btqFSqbh//z7h4eG8+uqrHDhwgICAgGr7qVQq6fFPL8AvO4cPH8bNzY3CwkKePn2KmZkZixYtIj8/H71ej32tWtzLy8O5b1+eBgfD+++zefNmVq1aRYMGDVCpVGRkZPDFF1/g7e3N6dOn0Y0bx+YtW7gFxAJdGjRAGxREVFQUi6ysoLiYek5OTFq1im3btpGamoqVlRW9evUi9tQptDodSUCOwYCZQkFaWpqk+Xzt2jUmT55MREQESUlJJCYV9hqVAAAgAElEQVQmsm3bNrKzs5kxYwYdO3bkwYMHzJ07V/Lw3bZtG7GxsWg0GunmTaPR0LVrVy5fvoxGoyE+Pl7qa+7UqVO1IqZDhw79aiFSVRHTkSNHCAoKQgghpc/z8/OldrfJx46xRaViakUFoTIZNtbWaHJyKCkpoaioCJ1Oh0qlQqFQoNPpaNKkCd99992vCn0YebkwBtkXGJlMhlKpJCEhgXbt2qFQKJgyZQopKSl4eHhIxtpVCj7/P7RaLTk5OTx69Ih//vOf1YLogwcPUKlUUhCtU6cObdu2ZdiwYXh7e+Ps7Pyra5uzZ8/mjTfeeC5dCpUeqLdv36agoEDaptFoOH36NEVFRURHR2NiYkJpaSne3t7s3buX9evX07NnTyIjI1m+fDnp6ek4OjqSkZFB7dq10Wg0lJeXY2lpydmzZ2nWrBlr166lXbt2LFmyBBcXFwYNGoRer8dgMFRztamoqJCEDp48ecLBgwf55ptvGDRoEO7u7ty+fZvhw4cDlcUqEydOfKHEJH5v5s+fz8SJE5kzZw4tWrRAp9Ph6+uLTqejX79+JCQkkJKSgm9kJF9++aX0Gxg9ejSDBg1i7NixFBcX4+7ujlwu59KlS0z79ltyZDJKhCAXMC8pQXbpEhkZGZiYmGBqasrD3Fw2bdpETEwMBoOBhIQEli1bhk4mQwUEAnnAQ70eN2trOnXqRHZ2Nu+9954kb6nVarGzs6O0tBRHR0eUSiVHjx7l/v379OnTh0aNGrFmzRoOHDiAnZ0dAQEBFBYWArB9+3aio6OxtrZGr9dX+23/liKmyMhIPD09UalUhIeFEX/oEEutrIhLTeXUqVMcu38fk0uXOBcejmV6OvoaNaj4UeBEqVSi0Wi4desWPj4+DBkyhDFjxvx5PwIjfzzCyAtNSkqKAMTevXuFwWAQ27dvF6+99poYMWKEuHPnjggODhZtGzYUmtGjReTEicLGxkZ4enoKJycnYW5uLlQqlVCpVEImkwmFQiE8PT3FiBEjxCeffCK++uorcfXqVZGfn/+XfsaSkpL/c5+wsDBx69YtsXfvXjFr1qznXq+oqBBNmjQRT58+FUIIceTIEeHl5SVcXFyEtbW18PHxEU2bNhWJiYli5MiRombNmmLChAli586dv/h+8+bNE8uXL//vPtgLTnJysujVq5dwd3cXFy9eFAcOHBCpqanC3d1d6PV68fbbb4u33npLCCHEgAEDhFKpFI0bNxZt2rQRrVq1El5eXsLW1lbY29uL5s2bC41GI/R6vVgxbJhwt7QU3rVri2XLlglnZ2fRsmVLERoaKszMzESdOnXE6dOnhRBCTJs2TdjY2IgPP/xQBAUFCS9HR7GwZUux5f33hY2NjbCwsBC7JkwQj955RygVClFUVCQ8PDyEnZ2dqFOnjqhdu7awsbERNWvWFI0aNRKenp7C399fNGjQQISEhIjJkyeLNWvWCCGEiIiIEP/85z+FEEKkp6eLrKwskZmZKQoKCqqNy7Rp00RWVpZo1aqVuHz5skhMTBS3bt0SQgjRt29fsX37dmnfq1evCoVCIaKjo4Wno6OYpFAIexATQIxu1074+/uLWbNmifLycrF27VoxefJkMXv2bOHh4SFiY2PF6tWrRVhYmLhw4YLw8PAQrVq1EidOnBDFxcV/+Pdv5M/BOJN9wVm/fj21atVi1apVXLlyhcePH7No0SJatWqFwWAgZvJk/MPCUMbHIwBnCwvqNW6Mt7c3jx49Qq1WM2/ePDw9PVm/fv2vCvz/lfzSLPg/ZePGjUydOhV7e3u6du3K+vXrefDgAVFRUURFRTFp0iQ+/fRTWrVqxXvvvce7776LiYkJAwYM+NVj/ieVyS8jp0+fJisri5iYGLy8vCgqKqJu3bqMGjWKefPmceHCBW7cuMH169c5fPgwdnZ2UmZAoVDg7OxMSUkJNjY2KJVKgoKCqKioICkpibKyMuRlZcydOxdra2vy8/PJyMhAo9GQmprKa6+9Rp06dUhLSwNg+fLlqNVqSktL+cbVlQc7dlC7dm2KnjzhH6tX4wnMUCqRHT3KkydP8PLywsPDg7KyMhYvXoyfnx8ODg7MmzePZs2aYWFhwbJly9i2bRtHjhyhWbNmKJVKSXs7ICCAqKgorKysGD16NEOGDJHG5ZeKmO7du8fq1auxsLCge/fuQGWR3aRJk9i3bx+2trZk5uTwT4OBV4AEQJ+URO+hQzl//jz+/v68++67HDp0iDlz5tCpUycsLCy4fv069+/fp3Xr1syZM4czZ85w8OBBQkJC/tTfgpE/DmOQfYG5d+8eR44coXPnzgwbNgx7e3uWLl3KyJEjCQwMZMiQIXwwejSpQiAH1EAbd3c2/WihVlX45OPj85d+jt/Kjh07mDp1Km5ubiQnJ5OQkEB5eTnl5eUcP36chw8fsn37dry9vfnwww9p0KAB8+fPp1u3btSJj4cVK0grLOTU2bOcPHmSSZMmsWHDBqytrVm2bFk1e7z/RUaOHMnw4cOlmwlra2uysrKIiIhg69atxMTEUKNGDRwcHJDJZIwZM6aaVnFVpffWrVuZMGECpqamJCQkYGZmhouLCzY2NhQWFlJSUsL777/Ptm3bcHR0JDk5md27dzNt2jRq1KhB69atCQoKQq1Wk5qayogRIwgKCqJjx46EAznr1mEPaHQ6wqZPx9TUVFL98vb25tVXXwUqU72ffPIJO3bsoHnz5qSkpFC7dm3s7e2Jjo7mm2++oaysjLKyMjw8PDAzMyM1NVVazti1axfNmzfn1q1bqFQqLl26xNOnT8nOzpYK97744gvp87u7u/PZZ5+xb98+vvnmG7rUq4dJYiJ+BgPzzc1h3Tro0QMhBPfu3eP7779n2LBhJCQkcPPmTSZMmEBCQgKOjo688847dOzYkUaNGv2tlyj+FzEG2ReYx48f88EHH3D27FnUajUNGzZEJpMRERFBq1atALgUEUH9nj0rDbZVKnBx+UvP+ffE1NSUt99+m1WrVtGmTRuOHDnC6dOnuX79OosWLWLIkCGoVCrq1atHTExMpSzjnDksa9sW8dZbyMrLcQT8fHw4dOPGbxao+DvzS7P1nwdfFxeXauvqVVRVegcFBXHlyhWg8sYuIiICGxsb9Ho9Go1G8qqtmsUuWbKETp06UatWLQYMGMDatWtJT0/HYDAghGDPnj0UFhbyzTff8L2ZGcjlYDBQASQ9eULDJk3o2LEjQgjy8/MJDg4GKtfZXV1d6dOnD8eOHZOKpGbPns25c+cwMzMjOzubkpISGjduTGZmJlqtlnr16qHRaFi8eDF37txBCMHo0aOJj49nxowZlQVdOh05OTmoVCoiIiKIjo4mNDQUvV6PWq3GxMSEq2VlZMrlHJbLWQ0weDA1a9bk9u3b+Pr68v333wMwadIkFi1axLZt28jIyODDDz9Eo9E8Z1hh5O+BMci+wHTo0AGo7ukqhODdd9+tJsz/QCYjtUcPtHXr8s0XX3DlR/Uh8WN1blWbS3Z2drW02ItO1UX+0aNHPHv2jJo1ayKTydDpdM/tZ2try/Dhw/n8889Jnj8fl/JyrABTwEUuNwbY/5B/J1VuZWX1nF/sxIkTmThxIkVFRQQHB9OgQQMuXrxIQkICbm5umJqasmPHDnbs2MHt27fJy8vDxcUFmUxGUFAQSqUSFxcXLl++TI8ePSoPevky3LjBZWDlmTMsXLiQLl26kJaWhpeXl2RcUVBQgK2tbTUTgjt37hAfH8+1a9fYuXMnmzZtYu/evXTp0gVzc3PkcjkbNmxg3759fPfdd4SHhxMbG8vp06c5duwYmZmZ0vvUqlULV1dXgoKCyMjIoH79+hw8eBClUknjH5do0tPTaREUxK5du2jXrh1XrlyRqoTFjwq23bt3x8TEhKysLCoqKjh8+DB6vZ7Q0FCjMcDfEGOQfQmoko6rerxhwwZpJpufn0+tWrWwi4xEu38/b7755nPC91Xcvn2b0tLSP+28fw8KCgro1auXtI7s7e3N+PHj2blzJ82bN5f2mz17Njqdjrlz51K7rIxpKhVWFRWVs/uficcb+WN58OABAwcOZMiQITg7O9OyZUtsbW3ZsWMHPXr0kPScR44cSbt27Zg1axZxcXEcOXKE+Ph4DAYDx44dw8TEpFJmsHVraN0av4ICPJKT6datG+veeYchajV2lpbExsbi7e2Nubk59+/fr3aDYGtry7p164iPj2f58uW4uLgwevRoPDw8qKiooH///oSEhNCzZ0/WrFnD8uXLadeuHWq1muHDh5OcmEgdS0se3rhBSl4e9vb2rFq1iv79+9OhQwfCw8M5f/48rq6u3L9/nx49emBnZ0dQUJB0s9CmTRssLS0p/9G16dKlS0Bl6jkzM1NKD2/dupWMjIw/+dsy8kdjDLIvAT9NI/08pXTu3Dnat2+PpaUlgwcPZvDgwb96HH9//z/sHH9Ptm/fTllZGfb29tSoUYPIyEjp3Js0acLdu3cxNzdnxIgRbNu2jTNnzrBz507y8vK4cOECxcXF5LZrx5EZM3CYPLlSAvFHCgoKSElJ+as+2t+a/Px8pk+fzrFjx1ixYgV9+/Zl9+7dbN68GTs7O4qKivjiiy/Ys2cPVlZWKJVKduzYgZeXF6+//jrvvPMOMpkMS0tLHBwc2L17N0ePHsXlxyWQsrIy0tLSmNCpE//Yvp3LQAVQtncvWq0WIQStW7emsLCQhIQE7ty5Q0FBAbNnzyYrK4vQ0FBCQ0MZP348SqUSExMT9uzZw/nz59m1axePHj2SUtparZbMtDTWGwxY5ufTQy4n0NmZMpWKcePGERQUxKNHj0hJScFgMPD6668D4OPjw9mzZ3FxcWHChAnVipiqgmwVVe5FAHv37mXhwoUsXrz4T/u+jPw5GIPsS86ZM2ektPLLygcffFDNp/b69eukpaXh4+PD6dOn2b17N0IInJycUCqVJCYmUqNGDUpLSwkLC0Ov1+Pk5IRMJqO8vJzFixez/MYNInU6nCMjqaiowNfXl+LiYmbOnMmCBQsk1R8hBFqttprgRGJiInfu3OH48eOMHDmS8+fPExkZ+ac4urzM1KxZky5dukhyh4BUXHb8+HFq165NTk4Oc+fOxc7ODj8/P1577TWEEAQEBDBjxgzatGnD1q1bsbGxwcXFBb1eL9krFhQUoFQqMc/N5RYwBigAXhk+HEtXV0JCQrh58yb379+XVJPMzc0ZN24cMTEx2NjYMGrUKBQKBUqlEp1Oh52dHVlZWfj4+BAYGMj169dp2bIl33zzDZalpewAsoANBgP6sjJsfiwC+8c//oG5uTlvvfUWRUVFfPzxx6xfv56rV68SGBiInZ0dsbGxyOVybt26RYsWLZgyZUq18fqpklmXLl0IDg6WzCmM/H0wWt295Pj7+7Nt27bnDLlfJm7fvv2Lik0HDx4kPj6emTNnotVqqV+/PiqVin379jF27Fg6duyIubk5Li4uDB48mPbt27Np0ybJLKFDhw60bNmSiIgISZrPYDBw7do1aXZUq1Yt1Gp1tXXv8ePHk5SURFxcHE+fPuXUqVNERkaydevWP34w/ob8vBgqMzOTZ8+e4eXlhVwup7CwkHfffZexY8fSt29fTpw4UU3i8ac8ePCAJq6ufJOUxBfl5WTI5XyuUFD4o/2eXC6XREgcHR3RarWo1Wri4uI4dOgQly5d4tSpU5LZg1arxcLCAisrKxo3bkxUVBTW1tZUVFQgtFrqaDQoheAeoFEo0On1XLp0iaZNm2JpacnevXuZO3cugwYNol27ds/dMH700Ue0bt1aEkEx8r+HMci+xGRkZODn50dOTs5vkhV8kXj8+DENGjSoJs0ohOD27ducPXuWRo0aVdseGhrKp59+ytmzZykoKOCNN94gMjKSlStXSvuNHz+ekpISiouL2bt3L1C5pu3q6ipZ5P2ciooKTExMkMlkuLq6kp6eXi3IHjhwgAMHDhAREfHSj/mfTVUxVGBgINnZ2eh0Og4dOlTNkq5fv37cvn0bCwsLcnJyJGF+IQSenp7o9XpUKhXR77/P0Y0b6TpiBPJevYiNjWXRokWSBGJISAg7d+6kZ8+eJCcn4+HhQWlpKXq9npSUFKytrSksLEQmk6HX66VAq9Pp2LhxI9u3bycvL4+3GzRAducOW54+Je7hQz7++GPy8/NxcnJi8eLF7Nq1i8OHD7Ns2TKg0qO3ypxg6tSpdO/enfbt2//JI23kRcKYLn6JOXv2LG3btv1bXOzlcjk1a9aka9eu1bb/9EILlbKMpqamHDt2DEC6qAYEBEiawxUVFahUKkJ1Oq5GR3PjRwcXABMTEwoKCqS2D71ej5ubG1999RUAffr0kZx9fhqIU1JS6NmzJ+Xl5c+l/Yz83/y8GCohIQFbW1u6du3K1q1bJQvHqqD3wQcf/OJxVq5ciampKSUdOrBp61bmffwx/3R15fXXX2fPnj3odDrOnj3LvXv38PT0JCAggPv371Pz/HnCly0jq1YttpSVScbxvr6+5Obm4uvrS2FhoSS9mJqaSnBwMKtOnJDWcwtkMiZMmEDv3r05e/aslNp98OABCxYskKz2fsrL4MRk5I/FGGRfUEJDQ5k4cSKdO3eWtoWHh5Obm8u8efOAv8d6bBX29vYcPnxYen7w4EGePXvGnj17qFu3LoAUHNVqNXq9npycHJ4+fYperyc8PFya6ej1em4uWkSnLVso12iIf/oUDh6EH1tC7OzsWLt27XOGBlXvW0XVhT8yMpKkpCT27dtH69at/8hh+Nvxa8VQUJlpsLe3p0mTJrzxxhssWbIEIQTp6eksWLCApKQk6TgymQw/Pz8ePHhAQEAAlpaW7N+/nwMHDtCpUyf8/Pz45JNPaNasGZcvX6Z58+bExcXx3Xff4WFnR68fbfYCASwtsXV0pKKighYtWnDv3j127NhB48aN8fHxQSaTSa1vpqammJiYcPnyZalOYMiQIWi1WlavXk3Pnj0JCgqiXbt2QGWvbtXj5ORkSR3KyP8wf6qI49+UgoICMXDgQFFUVCRt27lzp1i7dm21/TQajWjSpIm4c+eOtK2oqEg0b978Of3enj17irNnz0rPL1y4ICwsLESHDh2kbWq1WtSrV0/4+fmJli1bim+//VbUqFFDBAQEiICAANGwYUPRqlWr3/nT/v6sW7dO2NjYCFdXV+lfjRo1hJmZmXB1dRU1a9YUrVu3FhMmTBC5ublCCCG6desm6tWrJwYNGiRcXV1FYGCgEEKItWvXigYNGgj9mDFCgNgEYiiIBS1aSOOiUCiEUqkUzZo1EwMHDhQGg0FoNBrpfCZNmiR69uwp1Gq1CAsLE56ensLOzk6EhYWJsLAw0bt3b9GjR4+/ZKxeRvbt2ycyMzOl51988YX48MMPpefZ2dkiMjJSCFGpUR0UFCRSUlJEUFCQtI+Li4sQQoj+/fuL9u3bS9vHjh0rJk6cKC5evCimTp0qGjRoIJo2bSqWLFkiDh06JAICAkQXV1dxGsQaEHYgFDKZUKvVQqVSCaVSKUxNTUWjRo1EzZo1hZWVlfT/s2nTpuLMmTOibt26ws/PT4wePVq0b99etG3bVjRr1kx4e3uLw4cPi2fPnknn4+/vLz2eMmWKOH78+O88mkZeNowz2d+ByZMnEx0dTbdu3VAoFPTo0YPw8HDMzMzYtGkTpqamLFu2jMTEROLj4xk5ciRQ2cxf5XbS5UcTcIDY2Fjpce/evcnLy+P777/H29uba9eu0atXL8rKytBoNHz44YfI5XLy8vJQq9W0bdtWEp9ISkqSXGVeZExMTBgxYgR9+vSpNpuFStP2uLg4srOzGTp0KJaWlkCl2tDp06cZNmwY2dnZPHz4kCVLlrB+/Xo2bdqEvLwcsXUruWVlFMjlfBwXh5e3N3Z2drRo0YJr164hl8s5cOCAJOlXVfw0f/581Go1Xl5e7Nu3jxEjRpCQkMC+ffuAyvXBKvs1I/83YWFh1Z7/XBDF3t6egQMHAuDk5PSL2RnxY+lIq1atJPUprVbL/v37uXnzJvb29mzcuJFGjRqxdOlSFi1ahJ+fX6US1cGD8PbbpJaVMdXEhBFbtmA3cOBziktbtmyhsLAQPz8/oHIJQyaT0bFjR7p160a3bt1o2bJltTVXc3PzakVNP/zwg/S4ap3WyP82xiD7X6DT6Xj//fdJTU3l2rVr9OjRg6tXrzJ69GjmzZtHaGgo3bp149KlS6SlpTFgwADu3LnDwYMHKS4uZuLEibRo0YJLly5x7949Dh8+THh4eLX3OH/+PHq9ni1bttCvXz9p+6mJE7kbE0NmTAxxz56xdOlSsrOznzvHl2FNSCaTUbt2bSoqKliyZAmvvPIKAE+fPiUqKopHjx4xfPhwqfjp66+/5tixY7Rp04bc3Fygsh0iMjIShUJRqYbVqROyL78kqndv/Nu2xfXRIz755BN69eolFT/t3buXgQMHcuHCBelcdDod69atY+PGjTx9+pTg4GCSkpIoLy+X1nE1Gg1Dhw41WpL9ASgUCszNzVGpVJSUlNDkR/WyX2ptqfL+tbe3B+DKlSvs2rULNzc3ZDLZv377PXrAl18iVq8GFxe6r12Lyeef/9uKS5mZmVy/fp0ePXr8n2uuRg9YIz/n720z8gejUCjo168fR44cwcXFhc8//5yNGzfSpEkThgwZgqOjI9u3b6eiooLi4mJWrlxJvXr16NOnj3QRmTVrFn5+fnTp0gW1Wv1cEZNGo6FOnTqsX7+edu3a0a5dO15t1Ij569aRq9Xy7MsvufvDD3j8pLjnZaNqlmJiYiLNyvPy8lAoFLRo0QJra2tp37lz5zJ27FgOHjwoNf1Dpc7xu+++i5OTExMnTiQrK4v8kBCuCUG9/HxEaSlTp04lMDCQ1q1bk52djb+/P7du3aJ169b069eP9PR0rK2tWbduHXXq1MHKyor+/ftLwvFhYWEcPXqUvLw8YmJi/oqh+ttT9Vtwdnbm+vXr0r8qbeSq9hidTsfixYvp27cvUDlrdHR0pGHDhr984B49KA8LgwYNuHTpErGxscyYMYPRo0cTGxvLxYsXcXNzk3ZPSEggMzNTyp78fM21Xbt27NmzRzpfI0Z+DeNM9r8gOzubefPmYWVlhUwmIzs7GwcHByoqKpg9ezYtW7YEKhvyly9fTvv27aU7c4CvNm2CoiJWzp8P1ta4uLhQv3595HI5T548ITY2ltLSUuLi4rCwsECn06HRaLAwGDgNzAfe0elINjXl6NGjODo6cu7cOalnVqPRYGdn9xeMzH+G9scex8DAQK5evVrttU2bNqFWq6UUYv/+/dm9ezfDhg3j7t27kgD9iRMnJEEJExMTvL298XNywspgwDUujgzA3sEBde3a0j4NGjTg7t27KBQK7t69y5QpU4iPjycmJoasrCwePHjAzZs3ady4MU+fPmXu3Ll8/vnn2NjYSLNtI78vVdW9v8SyZcuIiIiQ2rTef/99unXrxvfff8+ePXuqFa09e/bsuZT+f6K4VFZWxrRp0xgyZEi1mzxbW1vpBmvq1KmS3KkRI7+GsU/2d+DVV19l3759fPnll6xYsYKKigoWLFjA4MGDJRlAgOLiYho1asTDhw/h4EFmhYVRT6fjLYWCCa6ufPHkCQCOjo6UlZXRsGFDLl68KFmHOTo68vjxYxTl5TTKzOSCXk8DuZx5CxfywcGDhIeHs2jRomprsiNGjHgpZl3r169n+fLl1WYTUNlio1AoyMjI4O2335Yqq6to3749rq6uJCQkYG1tTadOnf5lFTZuHKxbx2ZgIdCufn2umphQXFxMeno6bm5uCCFo3Lgx48ePZ+vWrVI/bEZGBsXFxZw6dQq1Wi1Zkr3yyit07NhRWssz8udhMBj+MI/foqIiSktL/0/FpbKyMmNK2Mh/hHEm+ztQXFzMZ599xrp16+jevTu2traMHTsWrVZbzTHGzMzsX3908iSyH19T6/WMa9yYm05OxMbGolAo6NWrFyNHjmTKlCksXryY+fPn065dOwwGA9OnT4cjR+gzbRrvvfMOV9Tql2Lt9f+HiYkJ7733HkOHDuXLL7+s9lqXLl24cOHCc+Lpmzdv5u7duzx69AidTsfdu3eJi4uTiqechGCnUkmuToeVTEautTVTxozBxcVFWntLTU2VZkY/FUUAoyXZi8YfFWCh0kv3pzPWX8MYYI38pxiD7O/AqFGjOH/+vCSx1qJFC/bv3w/A559/Xm3fJ0+e0KRJE3S5uZRT+QWsksnQ3biBtYtLtTXZxMRETE1NpYraFStWYGlpyZkzZ5DJZNwpKWGwvz+WJSUcOnSIhw8fvpTpYvhXAUlOTg6HDx/m008/BSrTxc6/4KLz9ddfs2jRImQyGePHjyc7O5uDBw9y//59zMzMWLhwIYMHDyauXTt++PZbLO3tKbOyYtGiRdSqVUtaS9NoNNy/f5+ysjLp2MJoSWbEiJHfCWOQ/S9ZtWoVa9asITMzk6tXr1JQUMDRo0c5cuQIMpmMy5cvY2Vlha2tLVZWVtjZ2fHo0SNUKhXmNWqgkssxc3Ag9vZtEhMT2bVrF0eOHKGwsJBly5ahVqupX78+nTt3Jjw8nOzsbOzt7YmNjcXT0xM3NzfJ5SM5Ofm5Fp5//OMff+Xw/NtUBTalUkleXp4k4K/RaGjRooVURQyVxU8RERE8e/aMXr16odFo2L17N56ennh5eXHx4kVGjRrF0JYtqbNnD2e0WoIzMsDFBSEEjx8/RqfTodPpUKvVNG7cuNoM5ciRI+Tn5xstyYwYMfJfYwyyv5GmTZtiYWHB0x9t1Dw9PUlKSsLBwYGUlBQyMzNJTk6ma9eudO/eHV9fX3Jycpg/fz5BQUH88MMPXLh9m7KyMoYPH45CoUCr1TJ58mS6dOnCw4cPycrKws/Pj549e0r2bnXq1CE/P5/s7GzKysqoVauWdE5ubm6MGtu7HVUAACAASURBVDVKeu7s7Mzy5cv/9LH5LVQVP3l7e1frNYRKPduoqCgiIiIYP348CQkJNGzYkNjYWJKSkvjyyy+xs7Nj7NixREVF4erqSl5eHnN37uQbIagJXDYY0N26hUv9+mRnZxMREcG3337LyZMniY+PZ9asWaSmpgKVfp8VFRVSRWnr1q3x9vYGjJZkRowY+c8wFj79RmxtbcnLy2PVqlUAdOrUibt371KnTh3c3NxISkpCp9MRGhrKypUrOXnyJEuXLuUf3btz8c4dHCwssPf2RqPRkJaWRt26dUlPT8fZ2Rm5XE7Pnj3ZtWsX0dHRREZGcubMGfr27cuoUaOIiopi9uzZDBo0iFmzZv3FI/HHU1JSwsaNG7G0tKR79+7IZDIKCgpo2rQp7u7urF27FhsbGxYuXMjrr7+OpaUlzZo149VWrahZWsoVwAvYOHUq9QYMYNiwYVy+fJm5c+eye/durK2t6datG1u2bGHv3r289tprpKWlYWdnh6+vL1euXKFmzZrAv18gY8SIESNgDLK/GTs7u2opzF+je/fuLF26lP79+3Pr44+53K8fH2s07Ferke/ZQ1KDBlIF8Pnz59m8eTNxcXFMnDiR3bt3s2HDBjw9Pdm+fTuZmZm89tprlJSU8Oqrr/4Jn/LF4KcVnZs2beLLL7/ExMSEM2fO0K5dO3Q6HT4+PsycOZNJkybx4MEDTp8+TevWrZndvj1TIyLQmZvj5u1NWloaU6dOZcaMGZK27PDhw/Hz82PYsGE4OTnxzjvvSE4r2dnZzJ8//y8eASNGjLysGNPFv5GfV6L+GjKZDJVKxSuvvMLRjRtx1Gg4B7R49gxGjEBTq5ZUnBQSEoKJiQmff/45Q4cOZefOnfTo0YOUlBTWr19Pfn4+J0+epKio6H8myObk5NCuXTvGjBlDWFgY5eXl9OnTB5lMxqVLl+jduze3bt1iz549nDt3DhcXF0pLS1Gr1eh0OmTBwZTt3Enz5s1JTU1FpVKxY8cOTpw4AUBpaSnz58+noqICLy8vVq5cSYcOHXjjjTc4e/Ys586d+4tHwIgRIy8zxiD7G9DpdNXbcf4NPvvsM3q3b88qExPaarVEmZvDpk3STPaXKCsrIzo6mv79++Pj48P+/fuxtLRk9OjRv8fHeCmwt7fn4sWLLF++XBKZUCqVyOVyySPW29ub0NBQ1Go13333HVu3buX06dOoVCpsbt2idnk5BY8e8Wbv3ty7d48BAwbw1ltvAfDVV19hZ2cnVYFfv36dLVu2EBgYiJ2dHZMmTUIulzNo0CBatGjxl42DESNGXk6MQfY3kJubi62t7a++LoSo1reanp7OjRs3kNna8r2/PzmnTkFkZKWm6k/svH5KVlYW6enp1KhRAwAfHx+SkpLQarVs2bIFqAzCarX6D+0f/KOxt7cnJSUFKysrWrVqxZYtW2jQoEG1fXJycjh06BAfffQRNjY29OzZk4YNG6LT6bh27RpWVlZs376dtm3b8uqrr1JcXEyTJk2w1OmwWLWKYr0ep4cP+eHYMR6VlNCrVy9J5OLTTz9l+fLlJCYmMmjQIGJiYrh79y7p6enS+3/00UfVFJ4+/fRTPDw8ePvtt1m3bh1arVaqhjZixIiRn/LyXp3/S6KiokhLS/s/9zMYDKxZs4aSkhJp2+3bt/Hx8fnVvxk+fLgkcACVDexmZmYcOnSI69bWXNVqafbRRzRt2pQ333yT3NxcHj16xLVr11i8eDFff/0148ePx9bWllOnTpGUlISVlRVOTk4EBQVJPZozZ87kiy++4N69e9VEL150Dh8+TFBQEMHBwRQXF9OtWzeCg4O5e/cugwcPpnXr1qxdu1baX61Wk5KSwpMnTzA1NcXJyYlevXrRu3dvLC0tcXNzw9TUlG3btuHr68u6devo0KEDNx48YExFBWbADYOBxJQUatSowcqVKzl//jxQ3Wll6tSpuLu7U1FRQUxMDDExMQQGBiKEkJxW7t69y7Zt2+jcuTMajQYTExNMTEzQaDS0b98eS0tLTExMuHfv3l8xtEaMGHnB+J+dyV66dImSkhIGDRr0/91v/fr17Nq1i6FDhwJQUVFBRERENTP1n2Nubi7NQA0GA7a2tlJrTWZmJg0aNCAkJITS0lKmT59OcHAw+/btIzg4mFu3bjFz5kyuX7/OsGHDyMzMZNy4cXTt2pXExES0Wi1bt27F09MTS0tLLCwsWL9+PW3btqV3797PnYujoyMpKSmcP3+eyMhIIiMjf+uQ/W5069aN0NBQ5HI5rq6ukrVfu3bt2LRpE15eXpIQ/LNnz7h79y4GgwEHBweePHkiufNAZeVx1c3S8OHDSUxMxM7OjsLCQg7v2sWrqalk6fWUyuUEhYVxS6/n7bffltpzqnjw4AELFixAoVA8Z9JQlZXIzs6mZ8+ebNy4ETs7OwICAiSt3e3btxMdHY21tTV6vf6lzi4YMWLk9+N/Ksi+9dZbxMXFVVqhAdHR0axatYqcnBwGDBjwXO9jXFwc69at4+zZs1hZWXH06FGmTZuGnZ0dAwYM+NX3USgU0prtz0XKCwsLCQsLY9CgQYSHh+Ps7MzatWsljeN69erRoEEDIiMj2b59O6ampowePZorV65w5coVwsLCGDp0KH5+fhQUFGBmZoaNjQ2nT5+mZ8+ezwUIlUqFhYUFSqXy3y7W+iNJSkpi4MCB0viUlZURHByMwWAgJSWFd955B5VKRXFxMTt27KBfv348fPgQg8FAYGAgHTt2RKvVSpkFg8FAeXk5V65coVmzZmzatImvvvqKIUOG4ObmxhmdjpaPH1PYpAkyf3+WDR5M27ZtadmyJbm5ucTHx9OpUyfMzc25evUqRUVFFBUVSdXMFRUVnD59mri4OGQyGQsXLuTQoUPcunWLq1evsmnTJnQ6HaNHj+bx48doNBpp5mtjY/OXjbMRI0ZeDP76q+5/SVRUFAEBAc8Jy/+cqov4W2+9RfPmzau9dvLkScnBpWo9NT4+ns6dOzN27Fhq167N5cuXmTJlCl9//fVza4YhISGkpqZKgSMjI4N9+/bx0UcfAdChQwfq1q3LmTNnyM7OZsGCBezbtw+5XC4Zhf+UhQsXSqnR8+fPk5mZiZubG+fPn8fR0ZFDhw7x+uuvs2bNGkxMTBg0aBByuVwKsBUVFZiYmPyqnvGBAwc4cOAAERERzwXlP5q6detKSkpQuSb71ltvkZOTw/Hjx9m8eXO18Y2Pj6dt27bExcURFxfHd999R3JyMlFRURQWFmJnZ0etWrUICwtDqVQSGhpK3759MTMzIz4+Hiulkr0GA2XXr/OwrIylS5eydu1aHBwcSEtL47PPPqvmtOLp6YlcLpfas6ZOnUqnTp2kc/X392fo0KGsXbuWZs2aoVQq0ev1rFq1Cjs7OwoKCrCysmL06NHPmZMbMWLkf4+XMsj+NLB+9NFHtGrVSqoOnTZtGvXq1WPUqFEYDAbCw8MZNmwYW7du5cGDBwghyMvL4+zZs4SFhXHx4kWKi4uxtbVl8uTJfP3119SoUYOsrCwKCgpYsWIF4eHhVFRU4OzszMSJE1mwYAH169enZs2aHDx4kEaNGlG7dm0+/PBDrKysCAkJoVWrVtjY2NCoUSMmTZoEgDhwgMkpKUxVKgkJCcHPz4/AwEA8PDxwcHDgm2++oVGjRnh6emJvb8/9+/cBsLGxkdKPcrmc+vXro9frqVGjBpmZmbz77ru4ubkxbNgwvL296dOnD/fu3UMmk5GZmSmNW0pKCj179qS8vJwpU6b8yd/avzh8+DDDhw+nuLiYZ8+eMW3aNAwGA3q9nubNmyOXy1m8eDHvv/8+Op1Omsm2aNGCCxcu8Morr5CcnIyXlxdyuZxHjx5Jx3799dextbVl1apVtPH1pXVyMk8Ab7mcRUuWMGT/fhwcHABo1qwZzZo1k/723LlzpKWlSTKVUGmvVsWTJ08ICwvDysqKa9euce3aNTZt2kRZWRlmZmY8fvwYpVJJw4YN6dWr1x8/kEaMGHnheSmD7IwZMygoKMDFxYUnT55w6tQpAgMDycnJwcXFRZoJrV69mt27d9OsWTPWrVsnGS3rdDoePHjA1atXyc7ORqfTMWTIEObPn8+zZ89o3rw5Xbp0Ye3atahUKqKjo+ncuTPHjx9n+PDhdO7cmd69e7N582aOHDmCp6cnBQUFvPvuu3Tt2pW8vDxKSkqoVasWT58+ZeDAgezs3x99v368p9fTwcSEFffu8dmhQ2RmZkrept9//z1CCPz8/NBoNLzyyit4eHhQWFhIQUEBH3/8MY8ePaJRo0bI5XI2bNhAfn4+GRkZlJWVSWuzP/XVdHV1lR7n5eXx6aef0rp16z/9O/sp3bp1o0+fPmi1Wvbu3UtoaCj5+fkkJibSrVs3bty4IbUpLVu2jMaNGxMbG4uXlxd79+7FwsKCjz/+mC1btjw3W5fL5RQWFnLt2jWe5eai0umoSWXbleHECVJSUqoViXXv3p1bt26hVqtJS0tDpVJx7do13N3dMTc3R6fTkZOTw+PHj7l27RqTJ09m9erV1K5dm+bNm5OXlwdUZkqqdKK1Wu0fastmxIiRlwjxktC/f3/h4+MjAgIChJWVlVAqlUKlUgmZTCbMzc2Fl5eXsLe3FxYWFsLNzU3Uq1dPqFQqsWTJElG/fn0BCIVCITw9PYVCoRAymUyo1WphYWEhzMzMhEqlkv7ex8dHtGzZUtSsWVOoVCrh5eUlVCqV8PT0FH5+fqJHjx7C3t5e7N+/X/j4+Ah/f3/h7e0tVCqVqFmzpnBwcBA1a9YUNjY2okePHmLQoEHiXOPGYhSIgB//OZmbizp16gh/f39hY2MjWrRoIebMmSMuXrwoDhw4IDp16iTCwsLErVu3xMcffywaN24sLl68KBwcHERGRoZwcnISvr6+okaNGsLMzEw4OzuLpk2bCn9/f6HT6aRxc3FxEUIIER0dLf7xj3/8Rd/ev0hMTBQtWrQQzs7OwsvLS1hZWQkXFxfh4OAgbG1tRb169YSNjY1o2rSp+Oqrr4RCoRCurq5CoVCIhg0bilWrVgk/Pz9Rp04dERAQIGQymahfv744efKkEEKIvXv3Cnd3d+Hh4SGiZs4U7ymVYi4IZ5lM2FtbC1tbW2nfnzJlyhRhZmYmbt++LT777DNRt25dcenSpWr7fPvttyIkJERYW1uLTp06iTZt2ohZs2aJ9evXi3Xr1gk3Nzfh7u4u6tatK65cufKnjKcRI0ZebF4aWcUhQ4ZQr149XnnlFVauXImzszNeXl5s27YNd3d3QkJCyMvL486dO3To0IHdu3fz1ZgxzFyxgssFBWQVFlKzZk2srKwIDAwkMzOTmzdvUqNGDZ48foyFUokWqNDrqVWrFiUlJZSUlKBQKNDr9Yzt1o3MhAS+Sk7G1NQUb2/v5wQpbty4UakyJJPh6enJw4cPUclk6AwGzExM0Gq1NAbKZDJKHRx4lJ2Nubk5BoOBiooK1Gq1dCyDwSCtE3/wwQds3ryZ5s2bs3//fsLDw5k+fToxMTEMGjSIrKws5syZw3vvvUdFRUW183J1dSU9PZ1Tp05JhuQvAlOnTuXcuXOYmpqSlpaGRqOhbt266HQ6rKysiI6OJjs7m5iYGOLi4li/fj15eXnVZoc6nQ5zc3MqKiqkbXv27GH48OGcPn2ali1b8nrdutRNTmbVzJmExsVRWFhIo0aNpOUFIQTTp09nxYoVREVF4e/vT/fu3fnss88YNGgQn3zyCSNHjpSKxlJTU3nzzTfZtGkTZ8+e5c6dOyQmJpKbm0uTJk3w9fU1pouNGDEi8VKmiwFOnz6Nubk5paWlJCUlcenSJZycnOjduzfff/89pTk5TJw0iWKDASsgh0oJPRcXF7799lupQrW0uJgFMhmvVFSwArikVGJvb49araZVq1ZcuXKF4oICYo8c4daP7z2pcWMS3d0pLS3Fzs4OIQQPHz5ECIGvry8pKSmMc3cnIiWFRCGoBXw0ahT7LlxgQ6NGePbpw/aCAkmz+NKlS0RHRxMVFcWOHTuYOnWqZDJQXFzMJ598QmlpKenp6Wi1Wo4ePUp5eTkWFhY4OTlha2tLeXk5N27coKSkhDZt2nD79m3OnTtHQUHBL45famoq7u7uf86X9Qvk5+fz5MkT9Ho9VlZWaDQaUlNTKS8vJzc3l5ycHBwcHHBzc2PMmDFUVFTQokUL3nnnHbZv345KpSI/Px+9Xl/tuA8fPkSn0zF27FgoKOBWcjIXgG8/+YRUS0v0CgXff/89n3zyCc+ePaNDhw4kJCRgbW3N5MmT0ev1pKenM3XqVCwtLRk7diy7d++W5BVHjhxJUVERW7duZefOnXz00UcMHjyYq1evUlhYiFar/dWCMyNGjPzv8VLNZC9evIiVlZV0IdVoNGg0GmxsbCgtLaVevXqUlZWRmppK0oAB5EZGMhboACwBrG1sKCwsRC6XYzAYkMlkKAGdEJgCMkAL2Do6YmFhgRCCJ0+eINfpkBkM2ADdgV6tWjEiJYWsrCxMfpyhVg2jhYUFtWrVwjonh9tFRZLaR1s3N/Q+PmRlZUlaxLGxsSiVSnbt2oVMJqNBgwZkZ2eTnJyMwWCgadOmTJs2jZiYGGxsbLh69SrXr19nyJAhnDp1iqKiIh4+fIivry916tTB2dkZlUrFli1b8PPzo0ePHqxatYr8/HzOnDnD4sWLOX78OEIIQkJC+OCDD36xt/aPZvXq1cybN0+6KUpJSSEqKoq+fftKVcYBAQH88MMPBAQE8PDhQzQaDd27d6dNmzbk5uaybt061Go1er2epUuXMn36dJydncnLyyMrK4u8vDz2N2/Osps3uQq0AEycnEjU67Gzs5MUu6rWxK9fv45KpSI9PZ2uXbsSHx8vvV5QUED9+vUBWLlyJQsWLGDBggVotVrGjBkjFbg9ffqUzMxMOnbsyPHjx//0cTVixMiLx0tVmbFu3TquXLmCQqFgzpw5xMbGsmHDBlQqFXXq1KlM644di42NDUuys3lHJuM1YA2VggJVRU1NmzbF1NSUyZMn08rPj0MmJqwBagF1nJxo1KgRaWlpPHv2jEaNGjGgQwfcgf6ATqHgaUAATZo0Yc6cOcTFxeHt7c3HH3+Mo6MjtWvX5tix/9fevUc1ceZ9AP+mBAggl+qKxgtItMhVoImKioK0atll3Sq6BUVhEbUqitoWlYpYbLfdtV6qdou6Cl4KqMXaIlq0KkV2lTvbjYKKKLCItAoWEElC+L1/sM5LivbtK6ZK/X3O4RxmMjOZmZzDl8zzPL/nOOYEBmK+WIxxAEaJRNiycqVQi1gul8P+v4Gbm5uLXr164eOPP8aOHTtARPDy8kJeXh6ICIGBgZgwYQLKyspQXl4OS0tLoXOVWCwWric9PR3V1dUICgqCUqlEQUEBYmNj8fzzz0OtVsPd3R1qtRouLi5Cb2h/f/8n8jm+8sorCAgIwOzZs+Hn5wcbGxs4OTmhvLwcs2fPhr29PXr27InTp0+jsLAQW7ZsgUKhwI4dOxAREYGFCxeib9++KCgogKWlJSQSCcLCwpCfn4/Lly/DysoKw4YNwzuVlZgvFsMAgIuBAbLj41FbW4vVq1cjMDAQ2dnZuHLlCi5evCg8mv+xPn36CAELABMnTsT06dNRWFiI8ePHQyKRQCqVIj8/H9evX8fXX3+N3/zmN7/QnWSMPe265eNid3d3bNy4EXFxcbCwsICFhQWuXLmCzMxMuLq6Yv369UjMzISFuTnqBgzAQnt7HCoqQmNjI2JjYxEYGAgvLy/06NEDa7duxcLZsxHUrx+qCgrg7eiIW7duwcDAAIaGhqioqEBxcTHMTE2RZWqKK01NOJOWhhs3bqCurg5ffPEF6urqsHHjRkgkEpiYmMDZ2Rm9e/dGwc6dOHfgAEK/+QbXZDKdWsTW1tY4fvw4RCKR0Pu5qakJNTU1+OGHH+Dt7Q0bGxu4ubnhb3/7G86fPw+VSgUzMzPU19dDo9GgsLAQ06ZNw7Zt25CTk4OrV69ixIgRQtlFoL2SEdA+/21WVtYT+bx+7P7wp8OHDyM9PR337t2DSqVCcXExGhsb4eLigoMHDyIqKgqjR4/GSy+9hJ07d0Kj0UAul8PAwAAXL17EpEmTUFFRITyeraqqwvLly1FbW4uxY8fi+++/R/jixVgcEAClTIYFx49j629/i9raWtTX1wNon7LQyspKuGetra2oqqqCg4MDAECr1eLWrVsoLS0VZkuaNGkSFi9ejLt37+qUz+x43xljDED36V0cEhJCJ0+epM8++4xGjhwp9BBOSUkhOzs7+utf/0oDBgygV155hfr06UP//ve/6fe//z3l5OTQ/PnzydjYmJycnMjOzo58fX3p9ddfp+nTp1N1dTUFBAQQAJo2bRq9//77RESUlpZGJiYmNHnyZFKr1URElJCQQAsWLCA7Ozv69NNPiYgoPj6eLC0tKTw8nFpbW2n//v1kaWlJFhYW5OfnRy+//DKZmJiQoaEh9e/fn7744gvq378/aTQamjBhAoWFhQnXmJeXR8OHD6fIyEhSKpU6119QUEChoaFkaGhIPj4+5ObmRkePHn3osZ52Go2GEhISaN68ecI6X19fkslkVFZWRpWVldSrVy+6fv06VVdX05gxY4TtvvzySwJAqamp5GprSykTJtBUFxfq2bMnRUZGUo8ePcjb25vu3LlDra2tZG5uTp9//jmZmpqSiYkJ9erVi/r27UtyuZzc3d3pnXfeEY5dUVFBTk5ODzznxsZGsrW1pSVLltA333xDGo2GtFotGRkZkVwuJ7lcTvb29jRjxgz93TjGWLfSbULWx8eHBg4cSMHBweTt7U27d++mnTt3kkQiIQcHB4qJiaGioiJas2YNSaVSys3NpbfffptEIhGJRCJydnamw4cPk1qtJh8fH7KysiJnZ2dycHAgmUxGsbGxZGlpSc7OzhQTE0OlpaW0Zs0aMjMzI09PTwoLCyOJRELW1taUlpZG9+7doxdffJF69+5Nw4cPpxs3bpCLiwvJZDIqLCykmpoamjJlCllYWJBSqaRx48aRmZkZOTs709GjR+nMmTNkY2NDPj4+lJCQQMeOHaPU1FQaPnw4WVtbC3+07/84ODiQjY0N9ezZk7y9vemjjz6iXbt2PfBYZ86cedIf10/avHkzDRkyhObNm0cXLlwQ1tfU1FCfPn3I2tqarK2tadOmTUREVF5eTsOGDSMiIrVaTcOHDyepVEomRkb02nPP0SGAVohEdHnzZnJ1daWePXuSSqUiIqL6+nqSSqXU2tpKjY2NtHnzZrK3t6fo6Ggiag/7lpYW4RzKysrohRde+NnXcvv2bbK1tRWWz5w5QwEBAY98bxhjvy7dImSbmppo4sSJVFBQIKzLy8sjR0dHWrJkCe3evZvmzp1LH3zwAdnb29Nzzz1HQ4cOpXnz5tGGDRvI0tKSsrOzSS6X08iRI8nKyorc3NxozJgxZG9vT56enqRQKCg/P58SEhJo7ty5pFarSalUkqGhIdnZ2VFoaCjt2bOHNBqNcA4xMTHk4uJCSUlJRESUnJxMTU1NOueu1WrpyJEj5OTkRBUVFVRaWkrvvfceOTo60pUrV+iNN94gkUhEUVFR5OrqSgsXLqTIyMiH3ovx48fTwIEDhWB40LEKCwsf5+1/7EpLS+n27dsPfC03N5cA0JAhQ3TG+94XGRlJ0dHR5O3tTcrAQJoG0EGA3gaIFi0ijUZDQ4cOFba/ePGizrdgIqJNmzZRbGzsY7kWrVZL33333WM5FmPs16dbhOyDaDQa+uc//6mzrqSkhPLy8nSCrqGhgU6ePPnI73P37t1H3rej77//Xvi9pKSEGhoahOWO/zxoNBrhW1hXj9XdHD9+nGQyGc2dO5eGDRtGo0aNopMnT1JbWxsRtV/bSy+9RBqNhry9vakmMZE0xsZ0CCCpSETywYNJLpfToEGDhGPu27dP55E00eMNWcYY+yndsuMTAIjF4k7lAe93VunI3NwcL7/88iO/z/3ZWLqqY4/TH59nx/q5P2emnJ97rO7gxo0bSElJQVJSEmpra7Fjxw74+flBrVZjw4YNmDZtmvAZrl27FidOnPjfghSTJuHGhx8ia8UKLA4IwKq9ewFAZ/rC48ePw9fXFyqVCkZGRg8cw6pWqyEWi7kMImPsses242TZr1NLSwtmzJgBf39/BAcHdxpKc3/Ku5KSEp2J3MeMGYOUlBRhzGtzc3OnkFQqlRg7diyOHj2KyMhIGBsbPzBkVSoV9uzZ02l2JcYY6yoOWdbtSaVS5OXl6UyGALQHdE5OTpeeZDDGWFfw8zHW7clkMly7dq3T+q42FTDGWFdxyLInqmNx/0dlZ2cnFN14kHv37oEf2DDGngQOWdZlpaWlwhytK1euRExMzEO3JSKhchIArF69Gu+///4jvS8RQa1WP/CbbO/evdHY2AgA8PX1RVVV1UOPExgYiGPHjgnL8fHxiIqK+tnnsW/fPsTFxf0/z54x9izotr2L2dMjICAA4eHhWLZsGSQSyUN7SB8+fBgKhUIIWSLC559//tBi+uHh4Th9+rRQzP9BBgwYgD/84Q9ISkqCg4MDevToAQD44YcfMH78eADApUuXMHnyZIjFYjQ1NWHVqlUICQnB/v37sWvXLly+fBlXr17Fli1bAADV1dVobm5GUVERXn311fYZff7L2dkZxcXFOiUUjY2NH1r7mDH2bOOQZV1SVVWF8vJyzJkz5//cNi4uDocOHRJmQcrIyEBFRQVee+01ne3S0tIglUohkUgQFxeH4OBg7N27F3V1dVi6dGmn42ZmZqKlpQWlpaUA2h9BDxo0CPn5+QCARYsWITY2FtbW1jr7BQcHIzg4GKGhoXB2doaHhwcA4MSJEzAyMsK7777b6b0kEokQsKtXr8asWbN0ejW3tLTozAvMGHu2cciyLtmzRO4MlwAACVxJREFUZw8kEgl8fX0BtI97FYlEOHLkCIgIjY2NOHLkCF544QVUVlYiKCgI169fh6enJwAgNTUVS5Yswbp165CVlYVTp07BzMxM5z1u376NmJgYWFhYYN++fTA2NkZbWxu0Wi3y8vIgk8kw5OJFICICJY6OCNq5E5WVlQDaexgnJydjzZo1P3kdZWVlwvCeyspKDBkyROf1trY2AO2zORERtFotKisrodFoAAAlJSUICwtDVVUVTp482cW7yhj7teCQZY+ssbERW7duRUZGBkaMGAEAWLt2LcRiMVavXq2zbVZWFkaNGoX09HQ4ODjg4MGD2LRpE/r27QtXV1fU1dXBzs4OKpUKFhYWOvsuX74cb731FiIiIjBq1Cjs2rULjo6Owuv9Cwuxra4O+PhjbDIwwOo33kBKSgoUCgXOnj0LkUiEFStWAGgf7vOgNuDz58/j0qVLAICbN292Ctns7GwsXboUly5dgkKhwMyZM9HW1ob4+HicPXsWxsbGmDJlyk92wGKMPXu44xN7ZDU1NVixYoUQsD9l8ODBWLdunbCs0Wiwbt06bN++HcHBwbhw4QKGDh0KrVbbad+tW7cK7aJ3794V2l3b2trQ2toKg6+/hhmATAAXtFr89s4drFmzBgYGBti0aRMWL14MhUKBYcOGISMjQ9i3Y8/mDRs2IDMzE5mZmVi5cqWwXq1Wo62tDePGjUNhYSEcHR1RUFCA2tpanDt3DiNGjMBbb72FqVOnws/P74HFLhhjzy4uRsG67M9//jNSUlJgZGQkPC6WSqVQqVSYP38+IiIicOvWLZw6dQrnzp3D9u3b4e/vj4CAALz33nsoKiqCvb09cnJy4OHhgf/85z8AgIiICHh6euLTTz9FQ0MDWltbkZeXh9GjRwNoD8qBAwdiKBFWHDqEYAAXRCLcsbDA+o8+QkNDA06cOIG0tDQAQH19PSZPnoyzZ88iNjYWGRkZkEgkqK6uRlNTE6ytrSEWi1FXVwetVguZTAaVSoX4+Hi4ubkBABQKhdDWGxoaijfffBOlpaXIyclBS0sLmpqakJCQ8Mt/CIyxpxI/LmZdFh0djejoaAAPf1zc3NyMY8eOISQkBF999RWSkpLg7e2N3bt3IysrCzdv3oSnpye+++47yGQyiEQi1NXV4bPPPoOpqSnKy8vx4Ycf4l//+heuXbsGDw8PWFlZoby8HCdLS5Fiaorh/fvD3tISJXV1CAkJQUVFBTIzM9GvXz9MmDABc+bMgbGxMYD2GtGbN2+GUqnEJ598gvT0dCQmJmLgwIH44x//iKlTp8LLywthYWGQyWQ615Kbm4uGhgZhmYhgbm6OkSNHwt/fX893mzHWnXDIsl+EjY0N9uzZIywbGhoiOzsbDQ0NGDt2LLKystCrVy+8+uqrmDJlCsRisRC8rq6uCA8Px6VLl2BkZIS//OUviI6Ohlwux/bt23H+/HkcPHgQQZGRCAoKQnNzMyZOnIioqCgUFRXhd7/7HQ4dOoSxY8ciOzsbPj4+aG5uxrvvvgtra2vcvHkTs2fPxo0bN2BsbIzExERMmzYNGo0GPj4+SE9PR3NzM1atWgWlUomVK1fqjIv18PDA4MGD8eKLLyI+Ph7e3t46bcaMsWcXhyx7ZPd7+HYcM/ogP57l5n7hitzcXMydOxdvvvkmjIyMhKE7HbW2tmLr1q1wcnJCfHw8xowZg+DgYBw4cADFxcVYsGABqquroVar8cEHH6C4uBhJSUnw9fVFY2MjjIyMEBwcjLt378Lc3Bz29vbIzMwE0N6+a2RkhMDAQKSmpmLt2rUYMGAAwsPDhfOOioqCWCxGWVkZ1Go1/vGPf0AulwMAdu/ejfz8fISGhgIAtFotEhMTu91MSIwx/eE2WfbIsrOzsXDhwv+zEINKpcL+/fvh5uYGIoJUKkVNTQ2ioqLg5+cHLy8vvP7661Cr1VixYgVSU1MhFotRUVGBU6dO4fnnnwcR6YxHVSqVcHFxgVarxZAhQ+Dj44O4uDhYWFjAzMwMCoUCAQEBWLZsGQIDA3H16lVUVlbCwsIC9fX1EIvFuHPnDq5evSqEZkf3q0mtX78eXl5ewrqOHZu++uorrFu3DiqVSljn7u6Ov//97129tYyxXwkOWfbETZ8+Hd9++60QYNXV1RCJROjXrx+A9nAzNjbGt99+K+xja2uLoKAgtLW1ITsxEW6WlkipqcHFK1d0vg07ODjgwIEDCA4OxrZt2zB69Gidb973w/R+Wy1jjD1OHLLsqaLRaDBo0CCYmZmhqKioU2GK+y5cuNBeCCIzE/eWLYMJAEgkcD9wAJg8WdjOwcEBpaWlCAkJgbu7O1JTU6FUKuHs7IyioiKMGDECUqkUycnJv8wFMsaeKdwmy54qe/fuhUKhgJeXF2JiYrBx48ZO2yxdulQYRoOOxR9aWuC4ahV2dghZoH08r0qlgkQiQXZ2NkaOHImMjAwoFAqhfZYxxvSBQ5Y9NbKzs7Fq1SqcOnUKgwcPhqenJz755BMsWLBAZ7vLly9j27ZtcHd3B778EggKApqbcV0iwcz/lj/s6PTp07C0tMSsWbOg0WjQ0tIiFLQA2jtXPWxSA8YY6wqu+MSeuNbWVmzYsAFTp05FcnIyXF1dYWpqirS0NKxfvx4zZsxAUVGRsL1OVaXJk4HkZGDRImDLFog6TKMHtPeAnjlzJrZv3w61Wo2wsDBhMgMiAhFh5cqVOlPdMcbY48L/vrMnSq1WQ6FQwNraGufPn9cp/GBra4vCwkKhh3B+fj7Mzc2h0Wjwpz/9qVN7rSonp1NZw/sF/Ovr6+Hv748FCxZg1qxZAIDx48fDw8MDLS0tWL58uZ6vlDH2LOKOT+yJq6mp6TQ+9sfUajXP2coY63Y4ZBljjDE94TZZxhhjTE84ZBljjDE94ZBljDHG9IRDljHGGNMTDlnGGGNMTzhkGWOMMT3hkGWMMcb0hEOWMcYY0xMOWcYYY0xPOGQZY4wxPeGQZYwxxvSEQ5YxxhjTEw5ZxhhjTE84ZBljjDE94ZBljDHG9IRDljHGGNMTDlnGGGNMTzhkGWOMMT3hkGWMMcb0hEOWMcYY0xMOWcYYY0xPOGQZY4wxPeGQZYwxxvSEQ5YxxhjTEw5ZxhhjTE84ZBljjDE94ZBljDHG9IRDljHGGNMTDlnGGGNMTzhkGWOMMT3hkGWMMcb0hEOWMcYY05P/AUz5T0fWXXvUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(stations_graph_connection,station_location,with_labels = True,node_size = 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "def stations_less_first(pathes):\n",
    "    '''换乘最少'''\n",
    "    return sorted(pathes,key=len)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [],
   "source": [
    "def shortest_path_first(pathes):\n",
    "    '''路径最短'''\n",
    "    if len(pathes) <= 1: return pathes\n",
    "    \n",
    "    def get_path_distance(path):\n",
    "        distance = 0\n",
    "        for station in path[:-1]:\n",
    "            distance += get_station_distance(station,path[-1])\n",
    "    \n",
    "        return distance\n",
    "    \n",
    "    return sorted(pathes,key = get_path_distance)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [],
   "source": [
    "def search(start,destination,connection_graph = stations_connection,\\\n",
    "            sort_candidate = stations_less_first):\n",
    "    pathes = [[start]]\n",
    "    visited = set()\n",
    "    \n",
    "    while pathes:\n",
    "        path = pathes.pop(0)\n",
    "        froninter = path[-1]\n",
    "        \n",
    "        if froninter in visited: continue\n",
    "        \n",
    "        successor = connection_graph[froninter]\n",
    "        \n",
    "        for station in successor:\n",
    "            if station in visited: continue\n",
    "            \n",
    "            new_path = path + [station]\n",
    "            \n",
    "            pathes.append(new_path)\n",
    "            \n",
    "            if station == destination: return new_path\n",
    "            \n",
    "        visited.add(froninter)\n",
    "        pathes = sort_candidate(pathes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['车公庄西', '车公庄', '平安里', '北海北', '南锣鼓巷', '东四', '朝阳门', '建国门', '永安里', '国贸', '双井', '九龙山', '大郊亭', '百子湾', '化工', '南楼梓庄', '欢乐谷景区', '垡头', '双合']\n"
     ]
    }
   ],
   "source": [
    "print(search('车公庄西','双合'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['车公庄西', '车公庄', '平安里', '北海北', '南锣鼓巷', '东四', '朝阳门', '东大桥', '呼家楼', '金台路', '大望路', '九龙山', '大郊亭', '百子湾', '化工', '南楼梓庄', '欢乐谷景区', '垡头', '双合']\n"
     ]
    }
   ],
   "source": [
    "print(search('车公庄西','双合',sort_candidate = shortest_path_first))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pretty_print(path):\n",
    "    print(' --> '.join(path))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "车公庄西 --> 车公庄 --> 平安里 --> 北海北 --> 南锣鼓巷 --> 东四 --> 朝阳门 --> 建国门 --> 永安里 --> 国贸 --> 双井 --> 九龙山 --> 大郊亭 --> 百子湾 --> 化工 --> 南楼梓庄 --> 欢乐谷景区 --> 垡头 --> 双合\n"
     ]
    }
   ],
   "source": [
    "pretty_print(search('车公庄西','双合'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "广渠门外 --> 双井 --> 九龙山 --> 大郊亭 --> 百子湾 --> 化工 --> 南楼梓庄 --> 欢乐谷景区 --> 垡头 --> 双合\n"
     ]
    }
   ],
   "source": [
    "pretty_print(search('广渠门外','双合'))"
   ]
  }
 ],
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